a QOL improvement I would like to see is when you pick a battlegroup 0 CP abilities get unlocked automatically without having to click them.

The issue with this is that there is actually a choice between a 0CP ability and, say, a binary choice 1CP ability at the same level. Which means if you wanted the 1CP pick you have to not unlock the 0CP unlock even if you can.

I think what you are really suggesting is that integral 0CP picks with no alternative be automatically unlocked. And, in fact, perhaps on top of that, moving tier one 0CP picks to a new T0 level that isn't a binary choice against something else, but simply is unlocked automatically and right away when you pick the battlegroup.