That pic didn't do me much good. You have a Yahoo account? If so, load the pics (create a Photostream) on Flickr. https://www.flickr.com/photos/tags/yahoo/
Picasa, Photobucket, etc, are other free photo posting sites. Then post a link to the/your photo site.
What kind of wood is the cabinet made of?
You state you *dissolved the top coat with denatured alcohol, then later you state you think the top coat is lacquer. Those statements don't jive. Alcohol dissolves shellac, not lacquer. Acetone (lacquer thinner) dissolves lacquer. I suspect you should have used a (rattle can, spray) chemical stripper, like KleanStrip. It would have sprayed into those nooks and crannies, then scrubbing with a stiff plastic brush and tooth brush, then scrub-rinse with mineral spirits, would have made quick work of the stripping process.... pretty much be done with the stripping head aches you seem to have had. *At the end of your post, you state you're not sure what the finish is. If alcohol melts it, it's shellac.
If the cabinet's finish is shellac, then you may have an easier time refinishing, than if it's lacquer. If it's shellac, it may have been tinted, but more likely a stain was also used. Your pic suggests, to me, the finish or stain may be or is related to a red mahogany color, but I really can't tell or analyse much. You might could try a spray stripper, on an inconspicuous spot, to see if that improves your finish/stain/coloration removal.
> My goal:
> To restore the original amber over red-brown finish with a fairly even finish with the original visual depth of finish.
Amber shellac comes to mind, as does red mahogany. If you opt for this combo, test the application on the backside of the curio or on a piece of scrap (same kind of) wood. You might consider thinning the red mahogany solution (see below paragraph) and apply several applications of the lighter shade, to creep up on the desired shade you are wanting. Test all your solutions, see how they pan out. Write down your solution recipes, as you go.... don't rely on memory.... , so you'll know what recipe works best. Allow your testing to dry, for appropriate dried (color) look.
Other options: Lacquer is easily tinted with TranTstint dye. You can make a non-flammable stain using water + TranTint.
Can use alcohol to mix a stain solution, also. Test some recipes for best coloration. http://homesteadfinishingproducts.com/t ... quid-dyes/
If you commit to a final stain application and it's not quite right, like not dark enough, then tint your finish and creep up on the better shade of color. These techniques require practice, to get things right. Do some testing.... lots of testing, if need be.
I'm not sure what else to comment on, about. Bob might have more or better insights into this project.