Imo, healing "outside battle" should be done in game time as opposed to Resurrection real life time.Yet, as T3 people, I think a deep wound can be healed between a week or a month. Minor cuts would disappear in days. Crippling wounds like losing a limb? Hope you're ready to pay some OP to attach/regrow them (Real life time?).
I do however, agree that regenerating in a fight other than for a minor cut is too high for tier 3.