My cooling fans operate like this:

Cold engine, no a/c NO cooling fan

Cold engine, a/c on, Low fan speed

Engine Temperature at M on scale a while will trigger Low speed if a/c is off

Temp at M and A/C on may trigger high speed fan

Hot weather, 85 degrees, hot motor and A/C on will cause high fan to cycle alternately with low fan, pressure in a/c varies, high pressure=high fan

Might run on steady high in hot day slow traffic (I have not seen this)

I think your system is OK!