I'm Bigridial- I've spent enough time playing so many RPGs and wargames that I don't have a preference between hexes and squares. I have several battlemats, some of which are dual-sided, and even have graphing paper in both styles.
Heck, I remember playing SJG's Battlesuit. It was a spinoff of OGRE /GEV, concerning the combat of the power-armored infantry units, and AFAIK, it was unique in one particular aspect- it used neither hexes nor squares, but points. Each unit was centered on a dot which represented the center of its space- in a normal grid, it would be the center of the hex or square.
Determining LOS was as simple as connecting the dots.
It didn't catch on, but really, it was pretty simple.