Physicists always talk a big game, thinking they're so much more smart and more logical than you. but then why do we still not fully understand why ice skates work?
The hypothesis we used to have was that the pressure of the thin blades turn the surface of the ice back to water, and we slip around on that water that's why there's no friction of the blade and solid ice. Yeah nah fuck that, no one is massive enough that the pressure from their weight would lower the melting point of ice with just the pressure.
So you're gonna be like, "okay Chel, but what about the friction itself, can the friction from cutting into the ice cause enough heat to melt the ice and we skate on that?" No because that means the friction from my fat ass slipping on the icy driveway would melt the ice enough for me to not fall over. Ice is already slippery on its own, and that small amount of time moving over it isn't enough friction to melt anything.
Take both of these hypothesis into account, and it would be impossible to ice skate at very low temperatures. like say -40 degrees, (heh that's the same in C and F) It would never melt. And I really don't believe that would happen either.