I see this as being a problem with under geared players trying to survive post heart phase as well as the healing potency of healers. If you don't have a lot of HP to begin with you're going to find it tough to survive stomps. Also, shooting a protect and reapplying it onto the weakened player increases their survival a ton.

Finally, each job has a way to heal themselves in a pinch. Activating Second Wind or Bloodbath and WS spamming to refresh more HP while you're getting hit will save you and has worked for me in the past. I think instead of blaming how the raise system works you should look more into how to remedy the situation. This is how you beat content.