"Halo: Campaign Evolved" confirms that all platforms need to be bound to a Microsoft account, and PS5 local split screen requires a double PS+ subscription
HaloStudios (formerly 343 Studio) recently confirmed through the "Halo: Campaign Evolved" developer Q&A that whether players are playing on the Xbox Series, PS5 or Steam platform, they need to log in to a Microsoft account and create an XboxGamertag to enter.