(Plus, quite a few broke while I was iterating on my technique…)
To be clear, this is one of the reasons my then-girlfriend wanted one, to ensure a speedy engagement!
I more common method for wooden rings is to cut a long thin rip at 1/16th”. Soak it water for 30 minutes. Wrap it around something finger size, put a rubber band around it and let it dry. You can get a good imitation of a glossy epoxy finish with CA/super glue. This gives a lot more strength than a cutout.
There are methods to get epoxy deeper, but they require significant equipment. Search for "stabilized wood" if you're curious.
If anything, epoxy often has too much penetration, and I end up doing a first coat or two that disappear fully into the wood, and another thickened one so it actually stays on the surface or joint.
CA glue is easier for me to work with than epoxy and has done a fine job for me.
I had enough trouble SHINING MY SHOES. :)