It's not really clear on who's directing Bayonetta 3 as Yusuke Hashimoto directed Bayonetta 2 and also talked about possibilities of a Bayonetta 3 along with Kamiya.
Astral Chain appears to be a helluva ride and I am excited to learn more about it. Interesting that the Nier: Automata team is working on this game, so the game has some good prestige already, not that having Platinum Games in general provides some good prestige.
This is what I am talking about in terms of Nintendo's third party support. I hoped for more original games from third party developers when the Switch showed it was not a one-year wonder or a Wii U. With the Switch selling as it is, I hoped for more new/original games and yesterday's Direct gave me some good vibes in regards to third party games on the Switch. Sure, it won't match the output on the PS4 or Xbone in the end, but when you have upcoming games like Daemon x Machina (Marvelous), Rune Factory 5 (Neverland Co.), Shin Megami Tensei V (Atlus), Bayonetta 3 (Platinum Games), Astral Chain (Platinum Games), Crash Team Racing Nitro-Fueled (Activision), Mortal Kombat 11 (NetherRealm Studios), Oninaki (Square Enix), and Marvel Ultimate Alliance 3 (Team Ninja), that's not a bad third party haul for the Switch.
We do know Kamiya is directly involved either way due to his comments in interviews where he said that the are ideas he wants to implement in the third game this can only happen with him being either a designer, director or producer. Astral Chain is likely either second party (like B3) or first party (like W101) I'm thinking more towards the latter where the NA team have been contracted to do a new IP for Nintendo it was rumoured all the way back in 2017 following Nier Automata's release that PG were doing 2 to possibly 3 projects for Nintendo we now know of 2, Nintendo are now investing in both the Bayo and NA teams which at some point in future could turn into a full on second party arrangement.