Alright so I felt compelled to go through this. Most of these points have probably already been brought up, I haven't read the entire thread to tell, but whatever.
100%. Her appearances in CD are, in order: swooning at Sonic, being captured by Metal, being rescued, and being carried to safety. She does nothing else.
She can drive a car because it's a car racing game. Mario Kart has literal infants driving cars, because that's what the game is about. It's not meant to be indicative of any special skill on her part.
This is nothing more than speculation. You are filling in blank spaces with explanations that are convenient for your argument, not ones actually backed up by evidence in the game. You can't simply assume that she's gone through all the same traps and trials that Sonic did simply because we only saw how Sonic got from one place to another. By that logic we'd be equally justified in assuming Eggman travels around dodging his own traps.
Amy's controls in the Advance games aren't "complex", at least no more than any other character's in those games. And while she is kind of a "hard mode", that's entirely because she doesn't spin, not because of her hammer. Whether or not she can spin and whether or not she has a hammer are two separate decisions, neither precludes the other, as we see in Advance 2 where she's able to do both.
Simply false. This conclusion assumes that her hammer must be implemented as the same slow, momentum-stopping melee attack she's been given as a basic attack in previous games, but even those previous games don't assume that this is the only way her hammer can be used. You could easily include her hammer in a Mania-styled game by having it act similar to the instashield, extending her attack range and protecting her from some attacks, without slowing down her gameplay one bit, and without precluding her being able to roll.
This "triangle" metaphor doesn't even apply to Mania, as it doesn't account for moves like Tails' flight and Knuckles' gliding and climbing.
This is just some really bizarre moralizing after a long paragraph complaining that she can't basically bodyslam her way through obstacles. This is an action series; enemies and obstacles are going to get smashed, and I don't see how there's any moral difference if she's spindashing through them or smashing them with a hammer.
To cut through this point quickly, you have basically said yourself that the problem isn't the hammer, but how she was characterized in that period. Wielding a hammer doesn't inherently make Amy violent, entitled, bratty, or whatever other traits from that era that you take issue with.
This is an incredibly tortured reading of the game and I can't imagine anyone coming to this conclusion without a prior agenda. There's nothing enlightened about solving your problems through spin attacks rather than punching; in either case it's the same simplistic "violence is an acceptable solution if you're the good guy" message that damn near every action series has. And it's absolutely bizarre to act like having cartoon animals punch or hammer robots is going to lead kids down some dark path and then go praising soldiers...like, you do know how they "deal with bad guys", right?
I don't see anything dissonant here. When Amy hammers another hero, it's just a joke; it takes nothing away from their ability to fight bad guys. And someone whose main skill is using a weapon is obviously less capable without it than with...that's just a simple and obvious fact.
Shit man it's almost like this is some kind of action game, where the characters fight to preserve peace or something. Why does Amy's hammer only represent combat in a negative light while Sonic spindashing through thousands of robots gets a free pass?
And people outside of the fanbase aren't going to think of Sonic characters any time they see a colored ball. Obviously anything simple and relatively common is going to have associations outside of the one specific thing you're interested in. You can't force a "pink ball=Amy" association any more than they could force "hammer=Amy".
You just fuckin' said hammers don't make you think of Amy, but praised the series for making it so every blue ball reminds you of Sonic. You're trying to have it both ways here. Is it a good thing or a bad thing to associate characters with some simple symbolic representation? Is Amy's worth somehow emphasized more if you think of her as a pink ball instead of a hammer? How is associating her with a hammer pigeonholeing her any more than associating her with a pink ball, different only in color from every other Sonic character?
Why can't her hammer be part of her growth? Throughout this you seem to be quietly implying that any ability that isn't in some sense inherent is lesser than abilities that are, but if that is your intent you haven't actually justified it. Understanding how to properly use a weapon is a skill the same as any other, and can include or align with all sorts of physical and mental growth.
Yes, she was allowed to come along because she demonstrated A Useful Skill. If she didn't have a hammer, she'd have to prove herself useful and capable of self defense in some other way, because that is the point of the scene, not that the hammer is more important than she is.
It's almost like the point is that everybody has different things that they're good at and they're stronger because they work together. A point that wouldn't be served if Amy was just Tails #2, copying everything Sonic did.
Yeah they went in an entirely different direction with this. Rather than validating Tails always following in Sonic's footsteps, they made the point that he should be more confident in himself and do things in his own way. The actual execution of that is debatable, but I think it's pretty clear that this allows for a more developed and realized character than having him always be the copycat sidekick.
This also has absolutely nothing to do with her hammer so...???
...have you actually looked at who's been playable in the series lately? Since '06 it's been Sonic, wereSonic, Sonic, Sonic, other Sonic, Sonic, Sonic, other Sonic, Avatar the Original Character, and Shadow as DLC. Even if Amy had been set up as a clone of Sonic, there's no guarantee she would've been playable.
It very explicitly did not show that. Sonic 2 has Tails following behind you from Emerald Hill until Sky Chase (and popping up in the Tornado to help you out twice more) and can bop robots and run loops like Sonic, while Amy is not shown doing anything, just appearing out of nowhere to be captured and saved.
What in the fuck. Why is copying Sonic the only valid option for her? You can look up to and idolize someone while also not subsuming your own identity into theirs, giving up your own strengths to try and copy theirs. I'm not going to act like the series is some bastion of gender equality, but I don't see how it's some slight against her that she's her own character and not a copy of Sonic.
How...is using a hammer..."the way of villains"? This is just...nonsense.
Overall this all seems to have little to do with the hammer itself; it's mostly complaints about her characterization, a false dichotomy about her gameplay, expectations for the character that don't correspond with any official interpretation of the character, and some straight up bizarre ideas about weapons and violence.
If anything I think I'm more confused about why you're so against the hammer than I was before.