What happens to my games if PlaySafe ID ceases operations?

Your games would be completely unaffected. PlaySafe ID operates as an additional layer on top of existing game infrastructure, it is not embedded into the game itself. In the event that PlaySafe ID ceased operations, standard matchmaking would continue as normal. The only thing that would stop functioning the PlaySafe Protected matchmaking specifically.

In short, nothing about your game changes, you'd simply lose access to the verified matchmaking environment that PlaySafe ID provides.