The heat pump I have installed reaches 1:1 at -20C, i.e. at that point there's no gain. But a) it rarely gets that cold around here, and at -10C it works fine - there was a dramatic (seriously dramatic) drop in amount of electricity I used during winter compared to before installation, and b) My heat pump was installed in 2010, since then they've only got more efficient and 1:1 is somewhere around -30C (or was, a couple of years ago when I last checked).

And what it does when it's really cold _and_ somewhat humid outside is that it detects when frost appear on the outside element, at that point it reverses the flow and uses the heat from inside to defrost the outside element. As far as I know it does not include any actual resistive heater for this (though I won't bet my life on that statement). It's been working very reliably all these years (except for a leak in the cooling fluid which appeared relatively soon after installation, promptly fixed by the provider). I have to get it cleaned now and then to keep up the efficiency. It's in every other respect completely without hassle.

EditAdd: The Japanese heat pumps sold in the coldest areas are "Nordic" models. They are extremely efficient. But in Japan, where they're made, you can't get them. Or at least, we could only find less efficient models. But I haven't been to Hokkaido yet, I'll have a look in the stores there to see if they have them there.