Preface: I'm going to use the Wound Thresholds system from Pathfinder Unchained for a grittier campaign, but a friend of mine noted that it might make things a little too gritty. Specifically as it applies to stabilization rolls.
My question is: Does the critical condition persist after a character starts dying?
This would cap the stabilization chance of any character at 35% (lower for characters with Con penalties). As the campaign I'd use these rules for is supposed to be grittier than normal I'd be okay with this, but I'd have an easier time selling it to my players if there was no doubt about the ruling.