I haven't seen any demonstration of a laser destroying a rolling airframe with reflective coatings. The only practical demonstration I could find anywhere was a laser on a boat burning one single drone that was gray in color, from only about 800m away. And it took about ten seconds to do so.
Most of my search results today are CGI propaganda pieces, the closest I can find is this from 2013, which is just a normal non-shiny and probably non-spinning missile, but from 1.5km and being destroyed 4s after launch: https://youtu.be/kgUnDeED9MM
Anyways, I'd love your source.