I actually finished this recently, and to me, the old abilities were almost completely irrelevant. There are legitimately times where you might think that wonderwing is the solution to something, but arbitrarily is programmed to not work.
I still really like BT, and even prefer it over the first in some aspecta. However, it is a perfect example of how powerups were implemented poorly back then (and even today). Instead of powerups enhancing the core gameplay loop, they are just keys to solve shallow puzzles. "Oh, there's a crack in the wall? Shoot it with a grenade egg." This is why Mario games have much more emphasis on evolving gameplay through level design rather than character abilities.
A newer one: Strange Darling
Good movie