I don't even have hotkey real estate for potions anywhere near my hand. I have ethers bound to - and hp potions to +, that's how little I expect them to help me in an emergency.
All credit due to ethers, when I'm healing or RDMing and die, I do pop one along with Lucid and Aetherflow and it does let me cast a rez right away, but that's a very situational use. If success or failure hinges on me rezzing several other people within seconds of getting picked off the floor myself, chances are it's LB3 time anyways.
But I can't even say that much about healing potions. Even on a DPS job that isn't full geared yet, an HQ Super barely moves my health bar. If I'm below the threshold for being killed by incoming damage, it won't put me over it.