That's because Sony never funded or investing on making Yakuza games, unlike Bayonetta to Nintendo. Yakuza problem was never about lack of funding because Sega approved it , Bayonetta in the other hand were in different situation the sequel had never been approve by Sega and the Nintendo come to the rescue.
How is it exactly same story, Considering close proximity of Platinum games with Nintendo I doubt they would have gone to sony or MS first for B2, also Yakuza was never funded by sony nor published by sony, like B2 was by Nintendo, Even if it was offered to Sony and MS, and the reason it could have been rejected was because 1st game performed poorly while yakuza was just a concept.
Nintendo saved an existing franchise to make its dying console exclusive line up look appealing that's standard in the industry. Sony did nothing like that they just gave a chance to a franchise be born on their most successful platform. So in short Sony had no intention of saving anything, besides a developers vision, while nintendo saved a franchise of already released game in order to save its ill fated Wii U
I don't quite see the comparison. Nintendo just choose that losing money wasn't as important as another high quality exclusive. No company "rejected" or "denied" the game to release on their platform.
You, you and you!
Gameplay > Graphics
Substance > Style
Art Direction > Realism