As long as the miner stays on so it generates heat, does not get wet, has air circulation and stays clean I would think it will do fine.
I might be concerned about the wiring getting to brittle if it gets really cold.
+1 but maybe you can help the wires by making sure you connect it only with one cable instead of two (not sure every miner has this option but most miners you can use a stronger PSU and then put only one connection so a lot of power goes thru this one connection and warms itself up...) also if you overclock the hashrate the heat inside should suffice to keep the cables warm...