The "How did we get here?" in fact they are chasing for harder as well as faster, so there may come out uhc mode. Yet that'd require commands. Will them be counted?

I don't think so

I see absolutely no reason to ban turning off health regen UNLESS the run involves dying.

I don't see a reason to even do it to begin with. We should stick to the "no commands" rule.

uhc is not absolutely harder than hardcore. I may later make a map that kils you in hard and save you in no-regen hard