It depends where the coolant temp is being measured. I'm guessing the system uses a "thermostat on inlet" arrangement where the stat regulates the flow of low temp coolant from the rad into the pump/engine circuit rather than regulating the flow of hot coolant out to the rad.
The "traditional" arrangement of "thermostat on outlet" from the engine diverts hot coolant from the bypass circuit out to the radiator once it reaches the stat opening temp. The problem/consequence of this is that the engine gets fed a slug of cold coolant from the rad going through it until it gets round to the outlet again and the stat reacts and starts to reduce the flow to the rad. This inevitably results in hot/cold cycling which is undesirable. A stat on outlet will usually be set at around 88C typically.
A stat on inlet gets the full bypass flow over it, going back to the pump inlet, and when it reaches typically 80C it starts to let cold in from the rad, that immediately meets the bypass flow and mixes over the stat itself so it will close down enough to keep the engine/pump inlet temp pretty much steady at about 80C. The hot/cold cycling is greatly reduced.
At high load you expect/engineer the cooling system to give a temp rise (deltaT) across the engine (or temp drop across the rad if you prefer) of something like 7 to 10degC, so an inlet temp of about 80-82C is pretty normal for a stat on inlet system. At light load the heat input into coolant is low, so the deltaT is small anyway, maybe only a couple of degC.
Regardless of where in the system the temp is monitored, at low load/idle the deltaT is small, in which case 80C is more or less what you'd expect under typical circumstances anywhere in the engine coolant circuit. Fan switches/control temp would normally be at engine outlet (or possibly the rad header tank) to come on when the coolant temp exceeds a set value, by which time the stat will be fully open anyway to give full rad flow and closed bypass.