Hi Brian,
You made it real quick over here. Hope you chose to join WAGS and visit us at the Chattanooga convention Oct. 1.
There have been many discussions about the term "heat ring" and it's a term I think coined by collectors since I've yet to see it in any original maker's literature. Several old Wagner catalogs say "made with raised bottoms to equalize heat" and they are, in this case, talking about their National skillets. The only thing on the bottom on National skillets that is different from any heat ring skillet of that era is the writing. Note that they say "to equalize HEAT" with no mention of "smoke" or "fire" or "stove". For this reason I go along with the term heat ring but discount the other terms as not being indicative of the purpose of the "ring". Actually, Griswold, in their early 1890-91 catalog, mention "rimmed" for all styles of skillets and griddles. If view of that a better term might be "heat rim" but, since Heat ring has been in use for so many years we can stay with that unless people want to use heat rim. If "rimmed" in conjunction with skillets and griddles is NOT what we call a heat ring, I don't know what it would be. Their kettles and bowls are not described as "rimmed" yet they, like skillets at least, do have a rim-the top rim-but griddles really don't have a well defined top rim.
Stove holes varied in size even among stoves of the same size (i.e. No.7, No.8, No.9) so that one No.8 stove hole might be a 1/4" different in size than another No.8 stove hole. Some pans from stove makers probably had the heat ring fit the hole exactly but I don't think the purpose was to fit down into the hole fairly tightly.
A long answer to a short question.
Steve