i would not remove the head. clean her up as much or as little as you see fit.
these old tools have lots of history in them, the bumps worts scratches dings are all part of it.
i guess i need to take a look at my BSA hatchet?
buzz
I agree, no need soak that one in vinegar. I only do that when they are badly pitted with rust. That one will clean up easy with a little brushing with a brass or fine steel brush followed by some oil.