IMO, yes though as already noted it can be another failure point. The electric pump will fill the carb bowl very quickly if and when the gas evaporates though not a problem in the cold.
An electric choke is best. Though your choke sounds ill set. You should only pump the gas once or twice when it is very cold out, turn the key and start it up. Let it warm up 5-10 minutes and drive away without a care in the world.