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Okay, so heres my theory on Ride Pokemon
What if the Pokeball is linked to the box system (not yours, but a public rental box kind of deal) and it acts as a teleporter, like a Pokemon Uber, where you use the little hand device to request a ride Pokemon, and then it's transferred to your Rideball (look down at the bottom, the female trainer has the pokeball locked into the device.) , so you only ever need one, and the Ride Pokemon can be swapped out at any moment