Have you used the online or mobile versions of tabletop games? What do you think of them?
Letting the computer take care of setup, dice, math, etc. is a really convenient thing. I have heard of people who will go to their respective computers to play Settlers of Catan rather than sitting at a table because of the convenience. You could play Carcassonne on your mobile device. My friend has a Dominion card randomizer app, and a smartphone is smaller than the stack of randomizer cards if you have all the expansions.
Games like Risk, Titan, or Axis & Allies, with lots of pieces and long play times, seem better on a computer than in physical space. I have a cat, you have children, and Ethic lives a day’s drive away, but the electronic board is there, safe and sound and remotely accessible. Pen and paper RPGs have a mixed record with online tabletops, but computers do handle miniatures and dice nicely.
Or do you then get into “use the medium” concerns? Now that you are no longer on a tabletop, how many vestiges of the tabletop do you want to keep? You start the long, gradual slide into computer games rather than computer-mediated tabletop games, and the whole point of Tabletop Tuesday is to avoid that.