Indeed, I would only use wire wool on an occasional necessary basis.
I find that an old hedgehog mitt works well to remove most of the muck, which after all was steam borne.
Then a polish, with just a dab of Autoglym if required.
It’s worked for me on a 2014 car for the last 6 years.
Having said that 00 wire wool is very fine and can even be used on old windscreens to shift stubborn marks - although an old speckled screen will require careful work with a drill and lots of patience!