Difference in how the page fault handler handles read vs write access requests?

Question

All the research I've done indicates only that a memory access has occurred, not if it was a read or a write access. Does that mean it doesn't matter? What if the page replacement algorithm which handles page faults depending on when they were last referenced? Would a read cause the reference bit to be set to 0? I assume it's still moved to the tail of the array since it was most recently used.