I hope not, but I just wanted to be clear.
Yes, but it's arguably better to get the correct adapter and minimize the number of extraneous connections and eliminate connections without heat sensors. With Gen 2 adapters available for pretty much any outlet you might encounter in the wild (except maybe a 6-30), there's really no need to make pigtails anymore. Unlike the old days when the choices for Gen 1 adapters were more limited.