This is not how it works. If the node is DQ, no more activities from the satellite, the node will be banned. So they can use a How To Forget Untrusted Satellites instruction for that satellite.
But if the node is not DQ yet, then yes, there could be activities, uploads/downloads/garbage collection/etc.
The payout period is the first two weeks of every month, so if the undistributed amount can clear a Minimum Payout Threshold on the selected network, it will be send. Otherwise it would be kept as Undistributed payout, until it would be enough to clear a Minimum Payout Threshold.