Can we restrict save permissions on pages?

Hello,

Is there a way to restrict who can save over pages on a page by page basis?
We are having a lot of accidents with users who set certain filters or fields for themselves on shared pages and then saving them.
These same users do need to have permission to edit some project pages, but I can’t find a way to control pages permissions, it seems hard-coded by permission group, and while I can control what groups can view a page, I can’t find an equivalent way to set the save permissions.

Any hints?
Thanks