Same situation though. Sony and everyone else didnt want Bayonetta 2 or future entries, so they turned it down, Nintendo helped out and made sure the games happened.
Sony did the same thing here with Yakuza. Nearly the same scenario,worked out for both franchises,luckily for us
It's different, Sony never asking Bayoneta 2 or their sequel Bayoneta 3 to come to Playstation 4 and never officially publish Yakuza games under SCIE . In the other hand Nintendo publish Bayonetta under their name and now asking Yakuza to be release on Switch. Don't compare bayoneta with Yakuza