Did you know that, down to a certain temperature, it is the pressure of, say, a foot or bike tyre, that melts the ice briefly which is what makes it slippery? That's what makes rain on ice such a hazard in many countries. Please correct me if I'm wrong, but I guessing that below -15°C air and ground temperature that doesn't happen.
Anecdotal, but I found walking muck easier when the temperature was lower, less of the unexpected sitting down.