Any even remotely decently designed LED bulb works at however low temperature just fine.
Misdesigned crap can fail to work due to any "external" reason. The real reason is failure in engineering, deliberate or not. In other words, there is no actual real engineering reason why LED lights should fail to operate at low temperatures. Fluorescent lamps are different, they really need to maintain high temperature inside the tube, as evidenced by the warm-up times even in room temperatures. LEDs work only better, the lower the temperature. Increasing ESR of electrolytic capacitors at low temperatures is the only "problem" I can think of, but it should not be a show-stopper. Cheap crap often even does not use them (evidenced by flicker).
Some manufacturers take advantage of the reputation of crap products failing at low temperatures, selling "special" low temperature LED bulbs. I would not buy them, and just try to find normal products with decent reputation, and if they fail to work as they should, return to seller and claim for money back.