Is the speed at which the wall connector charges affected by cold weather? For example if it’s on a 40 amp or 50 amp breaker on the same Model 3 will one be slower during the cold weather? If not is it handled by the car?
The speed the wall connector can deliver power doesnt change. The "miles replenished" speed may change in the cold, because some of the energy can be used to warm / heat the battery in order to allow it to take a charge.
So the answer to your question is "no, the wall connector speed is not impacted, however the car can charge slower in the cold due to needing to warm the battery".
As jjrandorin wrote, the only extra time/energy would be to initially heat the battery. It's not a lot of time if you are charging on 240 volts. The energy waste would be the same for all but the very lowest charge rates because heat is being lost via the air at the same time its being heated. To give an idea, the charge rate might be limited for 10-15 minutes after connecting, and during that time the car will be drawing less than the maximum amps its presented with(assuming a >=32 amp 240 volt circuit)
You can easily minimize the lost energy and time by plugging in immediately after driving the car. That might not play well with time-of-use energy costs, though.