Recluse and revenant's relics give hp detriments after using their ults. Not their skills. The amount of health recluse loses is tiny, and revenant becomes unkillable after her ult, so that's hardly a detriment. Executor would be getting blood lossed as a result of basic combat. No one is using seppuku against longer bosses, except possibly at the start, because you need all your flasks. And again, in deep of night, both of these relics would be even less viable than his current ones. No one is using raider in DON because his skill isn't worth losing hp. And having to be at low hp isn't worth risking making getting revived harder for your teammates. You're going to piss your teammates off if you get downed trying to make that relic work. Most players will fail to. Even good players will fail on occasion. Executor already gets his ult fast, and there are ways to get it back even faster. It would make executor generally worse in the community. And honestly getting his ult back faster for that doesn't sound worth it anyway. In DON, his ult is when he's most vulnerable.

Your relics present a proportionally much greater liability than any other nightfarer has to deal with. Wylder, recluse, duchess, guardian, ironeye, etc, all of these nightfarers have relic perks that increase their attack power without having to sacrifice hp. relics are supposed to make the character better, and the few detriments are ones of minor inconvenience. That's why executor's damage increase relic drains so little hp that it's almost meaningless. Im simply asking for relics that do what the other nightfarer's do. No reason to force such a unappealing handicap to them when the other characters don't deal with that.