the thermostat valve placement is also very important, in some engines its placed where the tail is the hottest part while the nose is the coldest part - for such systems the valve should have high hysterisis (slow reaction) to prevent rapid to and fro movement. The cooling efficiency of the radiator is pretty high for the engine and a valve is required for this function to keep a good temperature all over the system. The valve housing itself can be of regular open/close or even bypass type, bypass type has three modes
1 - closed
2 - mixed
3 - full open
regular type has just two modes - closed and open, there is no dedicated bypass blockoff.
all in all - the regulation temperature of the valve is highly dependant on where its placed in the system
now for the fan switching on and off within a minute - that is dependant on the fan cut in and cut out temperature - if either is reached and the function is called for and is actually executing then all is good as designed.