Is it true Beats Headphones shuts down in cold weather?

Cold weather drains the batteries of any device.

Here is Apple's advice about the iPhone:

Use iOS and iPadOS devices where the ambient temperature is between 0º and 35ºC (32º to 95ºF)

If your device gets too cold

Using an iOS or iPadOS device in very cold conditions outside its operating range may temporarily shorten battery life and could cause your device to turn off. Battery life will return to normal when you bring your device back to higher ambient temperatures.

Your iOS or iPadOS device may not charge or could stop charging if it gets too cold.

If your iPhone, iPad or iPod touch gets too hot or too cold – Apple Support (UK)

I would check the fine print, really small print. My Powerbeats has an operating temperature claim of 0 F to maybe 100, I don't have the exact max temp. With a full charge, I have had them stop working almost immediately about a dozen times at the low end, say between 0 and 15. I would usually wear a hat with those temps. I think it is unacceptable, because they obviously do not operate or not operate well at the low end temperature range. I always make sure they are fully charged when using them in cold weather.

Powerbeats are not Airpods. If 32 degrees was the low end, that would preclude use for much of the northern US and Canada in the winter months. Not acceptable.

I expect the charge to be diminished under cold conditions, much like an electric car - say 30 to 40% less. I do expect them to operate with the manufacture's specifications, which is 0 degrees F.