Ok reasons it is not a great idea.
The various Glycol solutions are designed to "stick" to the aircraft after de-icing, hence why you have a holdover time, if you just remove the ice then you are asking it to be re-iced, with no protection.
Would you really want to take an aircraft for a 15 minute taxi which is perfectly clean of ice but has no ice protection in conditions along the lines of M01/M00 +SN or M06/M06 FZDZ
I also would like to know the effect this will have on fuel, electronics etc, chemical de-icing is fluid adiabatic process. Heating the aircraft on the other hand will increase pressure, according to Charles's Law. I'm not sure I would fancy that on an aircraft with full fuel tanks....
It's de-icing on the cheap, that's all it is.