So I just took a quick look at PS5 games releasing on April 5th (first Tuesday of the month, which is when new PS+ and Now games are added to the services) and one of them is MLB The Show 22. I wonder if that's just a coincidence or if Sony is planning on launching Spartacus that day with MLB being part of the line-up. It would definitely be a good way to show how serious they're taking this if they add such a game to the service on its launch.
It's also day one on Game Pass though so won't make much of an impact.