It's possible to touch up photofinish with paints and an artist brush. Forget using stain to color in the scratched-off areas, since the underlying wood (or layer of glue) likely won't take stain as you'd want. The results with paint depend on your level of skill & patience. It's reversible, so get some tiny brushes and assorted colors, and start mixing.
I haven't tried acrylic, but that may be easier than oil because it dries faster. As I understand it, oil never really
really dries, it just stabilizes. On one old radio cabinet, I applied lacquer over some oil touchups and all seems well, so perhaps drying isn't a problem if you plan to apply a clear coat when you're done.
My goal in touching up with paint was to blend in the boo-boo so that it doesn't jump out at you at normal viewing distance. Doing a perfect repair is beyond my skill (and patience) level. Of course, it won't have the depth and interest of real veener, but photofinish doesn't either.
BTW, it's nice to see that someone else uses the Comcast Guide screen as a quick 'n easy test pattern
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html