A heater is not a bad thing to have; a lot of extra force and wear on parts is from not having one when you need one and if using one of the real high pressure, higher speed sizers like a Star, they really limit the "crank time" to keep enough pressure within the system. A Star in the winter with anything less fluid than alox 50/50 isn't going to work well and is prone to breakage without some heat on the lube side. Its about speed, none of which happens if you constantly have to crank on the handle or run it through twice to completely fill the groove.

The RCBS LAM and LAM II (never used the Lyman, but pretty similar) allow a bit more latitude with either sizing down several diameters or sizing long, heavy heat treated bullets beyond .002. A Star won't abide many of those without breaking something or wearing prematurely past .001-.002 heat treated stuff, especially in the winter without some heat. Hard n dry is nary successful or good on the equipment.

An in and out sizer also works best with some heat in the winter; but I would put a regulator of some type on it. Too hot makes a mess...
A chicken lamp on the top side of one of these for a bit to get things flowing works well; a base heater on them, without a regulator, is TOO hot unless using a really hard lube. The really hard ones generally are worthless as a lube anyway, as most production cast bullets look good, aren't messy, but lead badly. The lube should have some tackiness to it.