In theory but what happens if you have lots of bad readings or just simply messing around, the average will be way off and will take time to smoothen out. Your right about the charts being averaged, sometimes I get people wondering why the chart value is different then the raw value going to my point that averaging can lead to inaccurate values.
If the water temp rises .1 or more in 60 seconds the user might have bigger problems.

60 seconds is a little on the high side for a heater, just put it as an example. I use this on something I'm working on and it works great, couldn't be without it.
Here's a nice troubleshooting guide someone sent me the other day, the last page it talks about ground loop issues.