I had a nasty burn in the same place Ted, many years ago. I was moving a pot of hot oil when a tiny drop of spatter flew off and landed on my arm... the reflex recoil in response to that tiny burn caused me to slosh the whole pot of oil over my hand.
It's one of the few times I actually had to go to emergency. Ever since then I have resisted the temptation to juggle hot items or pour into anything hand held. I suppose I was not dubbed "Butterfingers" as a child for nothing.
I agree that aloe is invaluable for immediate treatment of burns, every home should have the plant. But big burns like that are best to get medical advice as well, and I'm glad you did (even if it was out of office!).
Glad to hear you're on the mend!