We all agree that it's not a good idea generally to turn on a potentially faulty ADR, and once off, it's not possible to know for sure if the fault is gone. However that isn't really my question.
If you've got yourself all sorted on one ADR, and you're hand flying along miles from anywhere, I could imagine you might say "Well Shaggs, I reckon there's a pretty high chance that blockage was transient, let's see if we can get some things back. I'll keep flying if you try turning one on, be ready to turn it off straight away if needed".
Assuming it turns out to be fine, at that point I'm unclear whether systems come back automatically, faults are latched, further resets (eg PRIMs) are required for system recovery or what. The manuals seem vague on this (perhaps intentionally - onus on the pilots?).