Our contribution to this subject.........
Ran a test over 2 years ago on Circuit Works' CW7100 Silver Grease,
predecssor to Artic Silver, to see if the stuff had any tendency to "run/flow" when heated. Mocked up a "joint" with alum and stainless plates lightly clamped and set vertically. Then heated with heat gun on one side to over 107C on other side. Inspected joint perimeter with 5X loupe periodically over about 4 hrs. No running, nor did a swab of the material placed adjacent to perimeter run either. Only some material placed as a "drop" ran 5/8 of an inch, then stopped as mass spread out.
So the stuff does not "run", and if you use "normal care" in applying to only the chip/hs surfaces, the issue of conductivity, shorting various electrical components, is moot.
John C.