It's not just a byproduct. There's a definite mode it switches into, that can be disabled, that draws additional power in order to heat the dish up. There is no heating element, but the community understanding is that the radio elements are themselves used to do the heating.
I think you may be right, I read a HN comment a long time ago saying that they had a heater but it seems they do not.
They have it.
This is from the official docs [1]: Snow Melt Capability: Up to 25mm / hour (1 in / hour)