"I hate to open a whole new six-pack of worms, but silicone grease is an insulator! "
That's one reason that silicone dielectric (non-conductive!) grease is in fact the grease of choice for many electrical
systems. From light bulb bases to marine
electronic data connections, where it is supplied by the manufacturer.
If you use a conductive grease it is likely to find ways to short things out. Especially if it creeps at all.
By using a non-conductive grease, you rely on the metal-to-metal connection which will
fully displace the grease when you have solid contacts.
And in fact, Contralube's FAQ sheet says "Contralube can be termed ‘dielectric’ which translates to" it is just a different base grease, with properties very similar to silicone grease. Their FAQ also says it should be used where there is sufficient pressure to ensure metal-to-metal contact, i.e. the same way silicone grease should be used.
In contrast, you can use a conductive grease like NeverSeize. (Oil doped with metal dusts.) And the problem there, is that antiseize is just great on spark plug
threads--but get just a trace of it fouling the tips, and the plugs don't fire. So the conductive stuff is best where it can do no harm. On battery cables
and other "crude" connections, I'll use whichever one is handy.