The one time temperature accuracy is important is freezing – you want to protect your water from freezing, especially if it's inside your Squeeze filter.
(Probably 2 F is good enough)
Put your thermometer in ice water. As much ice as possible. Put thermometer in the middle of ice away from edge. Let it sit there for 10 minutes. That should be good to 1 F or 1/2 F.
I just write on my thermometer what the freezing temp is for that thermometer.
If I have containers of water un-protected, at 30 F, they don't freeze. 28 F you start getting ice crystals, the cap can freeze onto the bottle. I can manage 20 F by putting on the ground and covering with brush/clothing. Maybe have to heat up some water in the morning and pour it back into the container. Make sure cap isn't on tight.