I do think that there's a confusion of accuracy with resolution here.
It's very easy for people to confuse accuracy, precision, and resolution if they don't understand that these are three different terms.
Quoting Wikipedia:
The accuracy of a measurement system is the degree of closeness of measurements of a quantity to its actual (true) value.
The precision of a measurement system, also called reproducibility or repeatability, is the degree to which repeated measurements under unchanged conditions show the same results.
A measurement system can be accurate but not precise, precise but not accurate, neither, or both
[End of Wikipedia quotes]
Resolution is the ability to distinguish between two things. For instance, on your TV screen, resolution is how many pixels per line (and how many lines on the screen). The easy analogy in the Davis world, is that the resolution of the US rain gauge is 0.01 inch.
One
additional common problem with temperature-measuring systems is that they may show different results if a temperature is approached from below (warming up), and approached from above (cooling down). That's a different slant on "precision" because the conditions have changed.