Actually, i have cheap tyres on my fixed.
On the geared bike, which i dont skid on(they flat spot easy, i found out after my back wheel locked up by accident) the gatorskins square off.
The Kendas on the same bike squared off.
The Schweble tyres on the fixed dont flat spot, dont square off fast. I did alot of skids on them aswell when i had the smaller gear on it. Now im on 72" i controle the braking more, but you cant help it sometimes, and when i emergency stop the wheel sometimes locks.
It was worth with the Kendas, i put the squared off one on the front(put that set on for abit while i was messing around on it) and you really could feel the difference. It would go in a straight line well, when you went into a courner you could feel it was squared off. More so because it was on the front. When it was on the back it wasnt so bad.