Yes. The smaller the space and the less airflow, the greater that potential problem could be. To minimize the gas hazard risk you could mount the remote holder with super long leads and put it in a larger area, say up by your coin door. Or you could put a cover over it, confining the gas mostly to the holder. Or put a fan near it, to draw gasses outside the cabinet.
But realistically a space of more than a couple inches away from the boards should be fine in all but the most unlucky situation.
You originally asked what's the point of installing remote battery holders, as opposed to just using lithium batteries in the original holder. The damage potential from gas escaping a leaking battery would be greater the closer the battery is to your boards.
Great discussion! Twisty, I'd like to hear more about the holders you make. Do you have plans you can share?