Ruin Explorer
Legend
If a DM say that they can't wipe it off or something because the description doesn't mention anything about that, then that is a problem with the DM's lack of improvisation.
I disagree strongly.
You seem to think the target is always going to be wearing a nice raincoat or a suit of full plate or something, where "wiping off" oil is practical. Except nine times out of ten, they won't be. They'll either be wearing porous armour (like most armour - chain, scale, leather, etc) or clothes and getting soaked, or they'll be a monster of some kind, most of which either are too dumb to think of removing the oil, or have no physical ability to do so. A Beholder, for example, can do nothing about this, unless you somehow allow the oil to be targeted by one of the eye stalks. Nor could a dire wolf or other big furry thing.
If the DM was willing to say such creatures could roll around in soft dirt (if there was any), or jump in water to clear it (again, many wouldn't be smart enough), sure, but now it's a potentially powerful CC ability, because you're forcing the creature to move, and likely Prone itself to get the oil off. For like what, 1 action and a tiny amount of money?
+5 damage to every instance of Fire damage for 10 rounds is just bananas. If ending it requires a least an Action, and may well require removing clothes or armour, or throwing yourself in water, or rolling around in dirt, then at least there's a cure, but that's still pretty amazing because the PC used one action to potentially make you lose your action (which might be a multi-attack or the like, normally) just to avoid getting cooked. It's broken, and it makes no sense logically, so...