I would like it much more if it was treated seperately from prestige.
Why?
1. Because rewriting the entire prestige-mechanism will not be happening anytime soon (Delvin/Vita, correct me if I'm wrong)
2. Because many people actually like getting h/p in things like battles, tournaments, ... Taking that away is just something I wouldn't do
3. Why can it not exist as a seperate metric, apart from prestige? Like you need the minor requirements + 'Support' metric, based on the things you described.
Just my thoughts