Not supposedly, that’s a fundamental function of rechargeable batteries, and largely for chemistry. Heat typically increases reactivity, and vice versa.

Warm batteries/room temperature batteries degrade significantly faster when at full charge. And most people keep their batteries at full charge.

Lowering the temperature slows the degradation down.

Yes, I’ve read that but never tried it. If you’re planning on doing another coat, why waste time and water cleaning your brush? If you wrap it in plastic, the paint should stay liquid a couple hours. If you put it in the fridge, supposedly overnight

But, batteries have a years long shelf life, and if they’re cold you’ll get condensation when you put them in something!