Thought I'd give an update!
I was skeptical at first, but the DP headlight polish is amazing. I used it at high speed (1800rpm) with a white Chemical Guys Hex-Logic pad, and within about 20 seconds I had completely swirl free lights! Not "finer swirls" but no swirls!
The biggest challenge was removing the residue after polishing. IPA on a shop towel created fresh swirls, as did wiping with a microfiber towel.
Ended up very very delicately removing the residue with a MF towel. Left a few tiny swirls, but couldn't be avoided.
Crazy good product.
I wonder why even gentle use of a MF towel is leaving swirls though. Could my lenses really be that soft?
Either way, I'm soon applying X-Pel film on the lenses to give them some physical and UV protection. Sealed the insides with spar urethane.