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> roll a number of d4s equal to your proficiency bonus. the creature regains a number of hit points equal to the total you rolled
much better than 1hp per level.
Interesting.
> lets leave the wizard with +1hp. we dont need even more attention and people dont need to know shes an aasimar.
It's your choice, because it requires an 8 hour rest between uses, it doesn't feel overpowered to me. So I would lean toward the better version but it is at your discretion.
In fact healing hands didn't say anything about stabilizing a downed creature that I could find either but I feel any amount of healing should obviously stabilize the victim and that's how I'm ruling it.