I really don't think so. Bowser can do well against most characters but the important ones, the high/top-tiers, body him so hard I can't help but feel he's bottom 10. Bowser's main, critical flaws are:
1. He's huge and heavy making him extremely easy to combo 2. His airspeed is low and has literally NO landing options so he gets juggled like a freakin' hacky-sack 3. His recovery is extremely slow and easy to gimp 4. His neutral is awful because ALL of his approach options are super-unsafe.
Now, against most characters this isn't much of a problem, but when you consider that EVERYONE in the Top 15 EXCEL at comboing, juggling, edgeguarding, and are DOMINANT in neutral and advantage. Points 3 and 4 mean that he's practically unplayable when he's at a disadvantage, so whenever a top-tier touches him he's pretty much dead already unless they mess up which shouldn't be happening at a high-level. Their neutral being great also makes it hard for him to just land a hit, which is what he needs to do to stand a chance against anyone in the roster. Rage is great for Bowser but it doesn't mean anything if he's not able to use it, and he can't against top-tiers half the time.
Bowser just... doesn't have much going for him. He isn't even pulling in any results at this time, either. I don't see him being better than more than 10 characters right now, sadly.
There's a lot wrong with that tier-list, honestly. Kirby is too high without enough results to show for it, Lucas shouldn't be above Roy, Greninja should be in Tier 4, Falco should be middle Tier 6 at BEST, Bowser, Jigglypuff, and Default Mii Brawler should be in tier 8, etc. I also feel that Palutena should be a lot higher. She has better results in-tournament than the characters in Tier 7 and most in Tier 6 (especially Doc, Bowser, Charizard, and Jigglypuff), she doesn't deserve to be so low.