eh, sega was always a huge playstation supporter. while Xbox guys fake an association between the two just because dreamcast ran a bastardized windows OS and the OG Xbox got some sega games, it just doesn't hold any weight.
Sega abandoned xbox very quickly, and found their star IP on PlayStation with Yakuza. Sonic had a few exclusives on Gamecube. PS2 got VF4. PS3 gen it was all PS3 with Valkyria, and now PS is the home of Shenmue.
Atlus they acquired later, didn't they? Atlus really is a weird get for Sega. Not sure if they fit.
Either way they seem to be one of the only japanese companies to find success on gamepass. I honestly believe it's because there's no other quality single player games in gamepass other than the Yakuzas.
They filled quite a gap in the Xbox One/Series paltry single player and japanese games offering. I see why MS clings to them for dear life, much like bandai-namco. They haven't kept the same relationship with Capcom and S-E though.