I don't think so, only because most of the 360 games available for back compat on the Series X are already ported to PC, a lot of them can be accessed on PC by way of GamePass, and the rest can be emulated on PC. You cannot currently emulate PS4 or PS5 games and only a handful have been ported to PC so far, so original hardware is the only option for playing PlayStation exclusives. Whether to get a PS4 vs PS5 is debatable imo.

If you're planning to do everything the legal way (i.e. no emulation of games you don't own), don't want to buy discs to rip, and prefer the available Xbox & Xbox 360 games to the PlayStation exclusives, you could get a Series X--but honestly, if you are cool with buying discs and don't care about PlayStation exclusives, getting a 360 would be a significantly cheaper solution than a Series X, especially since there aren't really any console-exclusive Xbox games in the last couple of hardware gens and the 360 had better back compat for OG Xbox games than the current gen Xboxes do. So if you were gonna swap the PS for an Xbox, I'd personally go 360 over Series X.