An informative discussion. If you don't mind...
Dielectric grease is a non-conductive, silicone-based grease that's designed to seal out moisture and prevent corrosion on electrical connectors. The grease they want to add to your signal lamp or battery purchase at an auto parts store is a good example. Good for sealing...bad for conductivity.
So, to be clear: dielectric grease, if used, should be used to seal a connection
after the two parts are connected, and never applied to the contacts before connecting?
It will NOT work as an enhancer, but WILL kill a circuit.
What do you mean by that second statement? It sounds like you're suggesting that any use of dielectric grease guarantees circuit failure, and I've never heard that assertion made before...
Using a good non-oily electrical contact cleaner is the best way to start. It gets rid of the oxidation and dirt that accumulate, leaves no oily film, and and thus provides a clean surface for the application of the enhancer.
Is this a chemical-cleaner-only application you're talking about, or is there some sort of mechanical action (scrubbing, scraping, etc) involved as well? Or does it depend on the condition of the contacts?