> "Miller Lite" is not a desired color to me.
Okay, your concern is cosmetic. That's fine.
The difficulty of removing the 'paint' is one reason why I'm not sure what the surface treatment is. It may be a printed dye that is taken up by the anodizing, or it may be a conventional paint that is then lacquered with a thin coating of the epoxy-phenolic that's used for the inner surface.
The White Box Stove seems to have the surface finish removed, but it doesn't look like this has been done abrasively (comparing the WBS with a raw Budweiser bottle). Maybe the guy who makes them could advise?
Having made a number of chimney stoves, I've found that the inner coating does tend to char and come off in use. In fact, it's probably wise to try to remove most of the coating from the can dimple that forms the chimney opening before doing the first few runs outside; the fumes coming off smell quite unpleasant (and that's with my somewhat relaxed approach to chemical ingestion…). You have to expose it to quite a flame to get it to come off, and it's pretty hard to remove with abrasive.
I'd be tempted to leave the internal coating in place, unless you intend to heat the bottle above 100C. After all, the coating is intended to resist attack by dilute phosphoric acid (cola), and fruit acids (fruit-based drinks).