Yeah, when it is too cold, even IPhones wouldn’t boot up. Let it sit at room temperature for a couple hours, and then using a low power charger to plug it in after that ?
My Dx220 is still going strong with battery that lasts 4+ hours. It is about the same as any other Apple products that I have had such as IPhone 6-7 with old battery.
Also, Walkman WM1A/Z MK2 have seen problem of weak relays and intermittent sound when it isn’t operating correctly

. I have helped a few to bypass and upgraded it as well