Going to check that out today.Are the receptacles reading reverse polarity? If so then you would only need to change the panel connections.
I have seen switched neutrals but not at the panel. Last time I saw a switched neutral was in my home in Brooklyn, NY. We had just moved there when we discovered the neutrals were switched.We have a few houses around here that’s like that, old two wire with no ground. I was told it was done by an old military electrician. Their colors were white hot, black ground.
I checked everything today and my tester was only showing open ground which it doesn't have since it the 2 wire setup. Polarity seemed OK.Does that actually need changing (I won't call it fixing)? Unless you're going to make some additions or modifications, leave it alone.