Those games will work in story mode, but may have problems connecting for PVP or PVE where they have to interact remotely with other players. I don't know about PS5, but I do know this is true for XBox Live. Even if they could connect properly, the satellite lag time is sufficient enough that your son's online avatar would appear motionless to others and likely would be `killed` before he even had a chance to react, which kind of defeats the purpose. Unfortunately, this is a basic fact of unenhanced satellite internet because of the distances and the physics of radio transmission ensures a minimum of 0.5 sec ping times.
However, if you are somewhat close to a cellular tower I would highly recommend switching to a Fusion plan. Fusion augments satellite with cellular/wireless technology and alleviates the laggy parts. As a current Fusion customer I can say that it works remarkably well, even on somewhat marginal (i.e., 2 bars) wireless signals and can play several PVP games.