... modern engines do run a bit hotter to improve fuel economy...
There exists a collective engineering amnesia.
There was a term banded about in the late 80's and this term was 'lean burn'. What this referred to was the push
towards* the stoichiometric point in terms of fuel to air ratio. This, the absolute optimum point of efficiency and fuel economy. The circle needed to be squared: Better fuel economy, less emissions and more performance. The downside is that modern 'lean burn' engine combustion temperatures are very high. The upsides being catalytic converters are happier at higher temperatures and the hotter the combustion temperatures, the more hydrocarbons are burnt.
The other downside is that you need efficient cooling systems which run at higher pressures with higher concentrations of coolant as it's harder to maintain optimum running temperatures when that optimum temperature band is pretty narrow.
*Very hard to achieve but the optimum point would theoretically be 14.7:1
As to the OP: take the thermostat out. It should have the opening temperature stamped on it. You can put it in a pot on the cooker in cold water and measure the temperature at the point it opens if you have a temperature measuring device and if you have water and a pot and if you have a cooking device or the means to make fire ug.