I have no problem polishing clear headlight lenses that are swirled, and never worry about removing UV coating..
If the headlights are already yellowing, etc., the UV is already gone..
Perhaps the ideal solution for headlights would be to polish them up really clear, perfect, and then purchase some thicker plastic clearbra material that has UV coating in it, and apply it to the headlights once and for all???
Did this to my `09 Grand Cherokee Limited 4x4 and 12 years later, those huge headlights are still perfect, the clearbra on them is also perfectly clear, no yellowing..
Dan F