The sample size for the Milwaukee refractometer is less than 1 ml (100 µl, actually) By the time the refractometer takes a reading the water sample will have changed temperature. It may be accurate but still not the same temperature as the tank. On top of that the temperature accuracy is ± 0.5º F. If you have two digital thermometers with the same accuracy, they can easily read 1º apart and be within spec. The refractometer primarily needs the temperature to allow it to compensate to give an accurate SG reading.
A good glass thermometer is probably the most accurate, but like with many things in reefing, absolute accuracy isn’t critical; it’s the consistency.