Should you run a car without a thermostat?

The reason you should ALWAYS run a thermostat is to ensure the rear of your engine block gets exposed to cooling water.

With the thermostat and temperature gauge located at the front of the block, removing the t-stat causes the cooling fluid to be pulled back into the radiator (recirculated), which results in water only circulating through the "front" of the engine. The t-stat "cycles" to ensure cool liquid is forced to circulate over the entire engine (front to back).

I'd like you to explain why this is so, IF it is so. Where did you get this information?