Not entirely on that one. There is a heat source, the ground. A couple of feet below the ground will definitely be above freezing unless you are on the Siberian branch of the BCN. This heat is sufficient to stop the rising pipe freezing provided that it cannot escape outside, the water is a good convector of heat. So good lagging will definitely stop taps freezing until lower still air temperatures are reached.
Of course, if you want the taps to freeze, then
Use metal pipes
Don't Lag them
Make sure they are kept wet from the dripping tap
Encase the whole shebang in a good conductivity iron housing
Make sure the structure is in a position exposed to the wind