The coils dont burn the PG or VG, they vaporize it. Im not sure where you're getting your information but the coils do not heat the PG or VG to the point of combustion. The liquids are heated to their boiling point and we inhale the vapor. The boiling point for Propylene Glycol(PG) is 188.2 degrees Celcius and the boiling point of Vegetable Glycerine is 290 degrees celcius. Both have higher boiling points than water which is 100 degrees celcius. Common vaping temperatures are around 200-250 degrees celcius. It would take much more heat for the liquid to actually burn.
I have already noted the Boiling Points (Points of vaporization) of both PG and VG within this thread. I dont think that a change in physical state(liquid to vapor) is a concern here.
By my understanding Thermal Decomposition happens at extremely high temperatures. For example the point of thermal decomposition of water(the temperature at which water breaks down into monotomic oxygen and monotomic hydrogen) is well over 2000 degrees celcius.
What I think you should be concerned with is the Point of Combustion, or the point at which the molecules within PG and VG will actually "burn" thus becoming toxic for inhalation. For VG the point of combustion is around 750C and for PG its around 700C. These are extremely high temperatures and would cause a serious level of discomfort if the coils were firing at those levels.
I do not have sufficient education in chemistry to make assertations based on these numbers and by no means do I claim any level of expertise. I do have a (very) basic understanding of chemistry and Im comfortable discussing it on a theoretical level but not much beyond that. I do not have the proper equipment to actually guage the temperature of my coils under vaping conditions(properly built, even firing coils, proper wicking and saturation with e-juice with consistent airflow passing over the coils), but my best guess is that they dont even come close to the 700C mark.
I will reiterate that if you have strong enough concerns regarding e-liquid and using vaping as a smoking cessation method, then I recommend a different method of smoking cessation.