I have never heard of removing oxidation with acid before.
I worked in the car detailing business for awhile and in my experience you don't have to use a chemical to do that, simply using clear coat compound and a polisher will do the same thing, just sayin.
I would be worried about the consequences of not neutralizing the acid after it is applied to the rest of the components on the pickup because I'm sure some of the acid got down into the cracks and crevices when you were applying it and acid is some nasty stuff.
You should probably take it down to the local brushless car wash and run it through because that will help remove any acid that accidentally got where it wasn't supposed to be.