Hi. I have the second ones on my boat. They work great for a beer can and one of those thick coozies. Tumblers, not so much.
I had some cup holders made of Starboard on my last boat. Maybe look at those. I know you want it to fit into an armrest, so maybe a Starboard ring to insert in your furniture.
It seems what we really need for the aluminum tumbler ( at least the ones with angled sides) is a bottomless ring. This would fit all sizes. I may make my own. Starboard comes in black, cream, and white. It cuts and sands just like wood. Just know that NOTHING sticks to it. Anything you put together will have to be screwed.
Or maybe a better idea will pop up here!