Mine is a remanufactured iP5.
My launch 5 was a complete dog, I was glad when the battery started falling over when it did, as the anodising was coming off the bezel (in a CASE), insufficient oleophobic coating, loose power button, the screen clicked, the usual.
Reduced capacity I can handle, the will it/won't it die after 20-30%, is less tolerable.
This morning, I found the phone dead. My bedroom was cool last night, but no lower than 13-14 celcius at this time of the year. I knew it had charge, and after warming it in the bed, it was back on with 22%. It's always been sensitive to moderately low temps, not even close to freezing outdoors in the wind, although doing it indoors is rarer.
My original iPhone, bought in 2008, will still reliably run down to 1-4%, and that thing got hammered for 4 years.