In theory for a springer, it is entirely determined on 2 factors:
The ratio of thermal expansion between the piston chamber and piston seal.
And
The thermal performance of any lubricant in the system.
With two such wild card factors, no hard and fast rule exists. I would say most springers should not be shot in the exteme cold (20f or lower) unless special lubricants are used.
For a pumper this all goes out the window. They are immune to such issues by design. Unless it is so cold or hot that the o-rings in the piston fail.