[Phlogiston]

That kind of a "finish" was not uncommon from the 1920s on. Most, but not all, were faux leather. Some had graphics added some did not. In general, if you have such a radio and the "leather" is in OK shape I would not mess with it.

Somebody that does that graphics style like Buford Chister (speaker cones) could probably do a good job on the correct material (and color).

Wurlitzer C-3 from 1924 pictured:


   

Russ

P.S. Maybe a little Armor-All. It might work, or make a mess, try it in a small area, hidden if possible.