NO PJF, no links. Your obsession with "published links" baffles me. In this case why does it matter? You can certainly call them and speak to an engineer.
But lets use some basic logic here.
If the minimum hysteresis is +/- 1 degree F. Then any amount of precision beyond 1 F is pretty much useless (esp for our purposes). The unit only displays full degrees, not tenths.
We can of course show that higher accuracy does have some effect on the display, but how much?
Lets assume it rounds for the display (the other option would be truncation). So if the true temperature is 77. 8 and the precision was +/- 1 degree then the display could read 77, 78 or 79 degrees. At no point will the display ever read more than about 1.5 degrees different than the actual temperature. Well within the acceptable range of precision. In the real world that range is likely less than a degree.
Here is the important part PJF!
If the precision of the unit was .5 degrees, then the display would still show 2 possible temperatures for some readings!
If the precision of the unit was .001 degrees, then the display WOULD STILL SHOW 2 possible temperatures for some readings!
Making the sensor several times more accurate only makes the display slightly more accurate. At best, even with a +/- .001 accuracy, you can only be confident that that display is within .5 degrees!
With a +/- .5 degree precision, the display will be within about .75 degrees of the actual temperature worst case! In most cases it will be within less than .25 degrees.
With a +/- 1 degree precision, the display will be within about 1.49 degrees of the actual temperature worst case! In most cases it will be within less than a degree.
We can carry out the same exercise for truncated displays as well.
If you are having trouble wrapping your head around this, I can build you a very basic spreadsheet to demonstrate the points being made.
The base point remains the same. It just does not matter. The reliability is important aspect. If your concerned about the real world difference between a degree F, then you may want to rethink your understanding of tank temperature as it relates to the real world. We are not conducting a precision lab experiment that requires heat calcs to be accurate.