"Pointless" because it's trying to solve/make progress on "beggar-my-neighbor" which Conway called an anti-Hilbert problem [0]?
Looks like infinite games have been found for Beggar my Neighbor [1] [2].
[0] https://en.wikipedia.org/wiki/Beggar-my-neighbour#Game_theor...
[2023] Curious if this has changed at all since then.