I see most of the people in the comments here have older model heat pumps.
Newer model heat pumps are quite a bit better than even ones made 10 years ago.
My dad had one put in two years ago for his garage kitchen, and it's worked quite well, even in fairly cold temperatures. Most importantly, that heat pump doesn't have an auxiliary mode, and yet it still works in sub freezing temperatures.
It would work even better if it were ground source, but those are both expensive and require digging up the yard.