They look like decorative bands from the front of a Military Campaign Trunk or a Steamer Trunk (see pic). I'm not 100% sure though - still doing research.
Something like this maybe?
Nice find!
I agree with your theory of these being 'strap decoration' of some type, but from what?
These two strips although they look similar are both of different designs.
Due to their relatively small size, I'm thinking they're possibly decoration from a book or small document box.
Dave