Repro: Go the game page, and scroll down to the sort.
Related: The sort in my opinion should also be instead offering Free Private Servers. It seems to be already doing that! Thus, maybe this name change is not necessary at all, if it gets renamed to Free Private Servers anyways. I’ve written a topic on this here. Go check it out!
Adding onto this, some games (such as this waterpark) are still under that category, but the servers are free. Roblox should either create a new category in the games page, or remove games that have free Private Servers.
You’re correct! That, indeed, is still happening. All games within the sort seem to be offering free Private Servers! I’ve addressed this issue in this topic. Go check it out!