PoE has the best crafting economy. you can get any white item and turn into a bis. again, hp pots aren't designed to keep the player alive, it's meant to keep them enough until other forms of healing hit. PoE now has regen builds so the pots aren't really HP based so much as support (reduced damage from x type, more damage, etc).
PoE has Hodradric cube kind of transmutation and random item modding, not crafting... Unlike in PoE where you can afford to mod an item 50 times until you get the right stats, in a full loot game items are expendable so you probably wouldn't afford crafting an item a bunch of times until you get the right mods just so you lose it on the next death.
Anyway, this derailed a bit from the original argument about PoE style potions. Imo, they have no place in a game like this.
i haven't played mmos where the hp pot is a heal over time, or i have and already forgotten about it. then again i have the most time spent in WoW, i dont remember UO pots and i can't even remember if Rift had them.
Then maybe I am wrong. In the mmorpgs I played healing potions mostly gave hp over time (Lineage, Lineage2, GW, GW2, Archeage and Albion).