For BE - if you bring your roller bag to the gate - the fee to check it is cost of a checked bag plus $25 fee. So say $50 - more than $40.

If on regular main cabin fare, AA lets you gate check your bag for free regardless of status and many have gotten used too that - pay at the counter or free at the gate and they choose free at the gate.

I suppose if you have dual residences - you many not need to carry a bag.

But the gate announcements will be interesting, like:

Gate agent example - if your boarding pass shows Basic Economy (Group 9) and you have brought a roller bag to the gate, you must come to the counter to check it and pay the cost of the checked bag plus a $25 fee. If your boarding pass says Group 1 - 8, and you are in the later boarding groups, you can check your bag complementary at the gate.