Last winter was miserable. For about the first time ever we had temps down to -9 degrees. As long as there was no precipitation coming down, I opened the door so my chickens could go out. They ran up and down ice hills and found they could go under the deck where there was no ice and snow and dig and scratch to their hearts' content. Most of the time they were on top of three feet of frozen snow/ice.
They seemed to be having a great time
That said, some neighbors opened their coop doors and their hens would look out but not venture outside. Some of theirs were different breeds. I had mostly EE's.
That is how my hens are. They will usually only go out if I SHOVEL a path for them lol