Generally the things that work on cars will work the same on speakers. (depending somewhat on the type of gloss finish). We use car polish, the electric polishers with pads you describe too - just take the same care you would with your car!I have some swirls on my black high gloss speakers. Is there some product or something to polish them out?
I do have a car detailing electric thing, with pads.... Not sure if that a bit OTT though
I am very much in the ‘less is more’ camp when it comes to polishing, because too often more harm than good can be caused. But in case Tannoy886 doesn’t know, AEJim is from Acoustic Energy and has probably forgotten more about loudspeakers than most of us will ever know, so I’d heed his advice.