My Vettes are very low mile originals. Underneaths on 3 are as CLEAN as can be but I prefer NOT to do any detailing under there. Some surface rust but not bad at all. Could they be better looking? Probably yes, but some things are not originally painted from the factory and all of the markings are still visible, and nothing looks "covered up" with a coat of paint.
My black 79 I detailed underneath 22 years ago when it was only 5 years old. Looks best of them all but I wish I hadn't done it. Also did headers and some chrome, again wish I didn't do it but will not change it now as it does look and sound good

.
I guess it depends on how yours looks. If it's just dirty and a good cleanup will improve it leave it at that.
You are posting in factory correct resto so that's how you want it to look, like it came new.
Actually when I was looking to buy each of my Vettes, I WANTED to see original underneath. Pretty much why I have the years I have, still a lot of low mile originals out there. And they're only original once. Didn't want any restorations or modified. I wouldn't even look at a Vette with an aftermarket air cleaner, it made me wonder what else had been changed.
Oh, I did redo 3 spare tire carrier straps

but will continue to resist any other repainting.
Mike
There was a 78 for sale a couple of months ago on the forum that was absolutely beautiful, everything painted and spotless. That car DID make me want to do some painting but I got over it!!