Double right click speeds up any animations in progress, visible or not, your units or not.
Anyway, I don’t think this issue is actually going to be “fixed” in Planetfall, because it requires redoing the architecture etc from the ground upo.
I say that because I believe it is the same reason why the game pauses when a player starts a fight in tactical mode.
Changing that, so other players can interact with the world while player 1 is fighting, would apparently be extremely difficult to do.