That's to be expected from wikis with no sources cited for the claims. It's mostly guesswork being passed as fact. And so, the spread of misinformation throughout the Internet continues...
Then again, this is not helped by the fact Nintendo rarely credits composers on a track-by-track basis in soundtrack releases, if they release them at all.
Edit: At least, editors of the Mario Wiki added [citation needed] tags to those unverified claims. Take
this page, for example, where Kondo's work on Super Mario Sunshine is mainly guesswork save for the tracks that are confirmed as his such as Delfino Plaza, Bianco Hills, Ricco Harbor and Gelato Beach.