The later upgrades to remove certain cards from the War deck don't seem to work. Or maybe I'm misunderstanding them, but I'm still drawing 3s and 4s after removing them from the deck. The 2s seem to have been removed successfully, though.
Honestly, I've removed the 2s and have a 5% ace draw, and my War win is at 17%. I don't even know what's going on there; I'm just letting my coin flips finance the losses.
I ended up removing the war triple-tie options and related upgrades, the mechanic was implemented incorrectly as well as being an inefficient strategy. I may re-add the mechanic when there is a better use for it.