Apart from the fact that it is never implemented anyway, you take the ore out of the can, you do not move the can itself, so that the owner is no longer known, or rather you yourself are.
when a player deposits the ore directly into your ship’s fleet hanger, it can record the player who deposited it.
Sure, it will mean all the miners need to be grouped close to the command ship, but i guess thats part of the risk/reward. It would be nice if they could also count ore taken from jetcans, but that might be asking too much… it would be enough to just record who deposits/takes from the fleet hanger