Currently, any selections you make for your summons get passed over to arena/survival lineups, and vice versa. My suggestion is to separate it, since we're saving a different lineup and talents as well.
I don't think the "selection" gets carried, but the set does Specifically, if your actual team is A, B, C and you choose C and your arena picks A, it's all good. But if you need D for arena and swap the main team to A, B, D, then your main team's C will be overwritten by the change