You dont really need the running tap its a bit OTT, I literally use a teaspoon to dunk the coil in after a cherry red heating.
The steam cleaning effect blasts gunk off in the form of small black ash flakes and the metal of the coil gets a nice wash to remove any nasties.
According to Dr Farsalinos research its not a good thing to dry burn coils, its not seen as bad as smoking, but its a risk which can be mitigated.
http://www.ecigarette-research.org/research/index.php/research/research-2015/212-db
There is a lot of "we think" in there but I agree in principle. If we can avoid exposure to as many harmful substances as possible, that is the aim.
I recoil because wire is cheap and it does not take me hours to do 2 or 3 coils for the week.