>>55668075*exception
Also, keep in mind, that sometimes catches above six result in the Poke'balls being "sealed" and the Poke'mon is unable to be brought out until another Poke'mon is deposited and there is space for it in your active party.
Also, consider that away from big city infrastructure, the Poke'ball might stay with your OC, but be sealed/unuseable, but in a city setting the Poke'ball would be automatically teleported away like Ash's Krabby and sent to your OC's registered facility for Poke'mon above the party cap.