Didn’t Nintendo bankroll Bayo 2 though? I don’t think they did for W101.
Seems that way. From the wiki pages Nintendo only published W101 but for Bayonetta 2 they published and part-funded it:
"The reason for the game's Wii U exclusivity was because Nintendo stepped in with additional funding after it was shelved by Sega. PlatinumGames producer Atsushi Inaba, responding to complaints by fans of the original game, stated that Bayonetta 2 would not exist if Nintendo had not partnered with the developer to make the game."
In fairness I never would've thought Nintendo would release control of anything that was exclusive to them so if they're allowing self-published versions of W101 on other platforms it's not impossible they'd do the same for Bayonetta 2; though it's certainly less likely.