Ahh, by "accessing its[the page's] contents", I thought you meant keeping track of the priorities of the tasks actually making the read and write operations tha

Ahh, by "accessing its[the page's] contents", I thought you meant keeping track of the priorities of the tasks actually making the read and write operations that cause the MMU to set the dirty and accessed bits. It sounds like by "accesed" you weren't referring to the page access bit set by the MMU, but rather just having the page mapped in the address space.