I also use Prep & Etch in order to get that grey zinc phosphate coating.
It says allow to dry without rinsing after etching. The fluids catalyze the chemical reaction to form the coating and it is self limiting. However, if you dry it too fast, the chemicals can't create a consistent and thorough coating. A heat gun could conceivably evaporate the water (the catalyst) before a proper coating can form.
I think most failures are due to trying to hurry the process, cut corners, and "improve" on the printed directions. You don't want it to dry fast. Slowly is better for forming the protective coating. You do want it dry before you paint or add another surface coating over the prep process.
Heck I used the oft hated Kreem as an overcoat and sealant (pinholes). I also let it completely dry out with forced air circulation for 2 weeks before it ever saw gasoline. After 5 years, the coating was still fine and rust free. Bike was then sold. So, that's the end of the personal history on that one.
It also helps to NOT do your first chemical experiment on the tank you wish to save. Find a piece of steel with rust, and experiment with that to gain confidence with the process. Once you've learned what works, THEN apply it to the tank.
Cheers,