Furnace or bathroom fan - as far as I know - will require venting outside. This means 4" hole in the wall, allowing the freezing air flood the basement.
For blow-out air vent there are plastic shutters, built-in in the vent, but they provide no protection from cold, and may freeze in closed position, when the extreme cold weather comes, or cycle freezing-thawing, again and again.
I had read, but couldn't find locally, that there are air intake vents (for furnaces), that has shutters (closed, when furnace is not pulling air in), made for freezing temperatures. Checked forums, in Alberta the same model was frozen in closed state, this means lack of air for fuel's complete burning and possible danger of backdraft and drawing products of incomplete burning into the living space.
But - what relates to the tanks in the basement in winter, not furnace or bathroom fan - in my case the basement is relatively dry in winter, if the doors to the living space are open all the time.
If not - dehumidifier may help in winter, it will heat the basement as well, reducing time of water heaters' work.
In the summer dehumidifier without air conditioner heats basement too much, and can't be used (again, in my particular case). Wettest season in the basement, even if it is sunny and dry outside. Keeping tanks topless and with fans, increasing evaporation to lower water temperature (no central AC), contributes to the process, but not too much - tried to cover tank, same effect. Could be condensation on colder surfaces, could be not. I tend to find inexpensive way to influence that, than find the theoretical explanation, why the process works this way
