I'd have to go back and check, but I just came across an article earlier today -- I can't even remember exactly where at the moment -- about a new approach -- maybe it's called "shared-cache" -- on some forthcoming Intel processor. The Smithfield and the Athlon, on the other hand, may be -- I can't think of a better way to put it -- "a single assembly" -- whereas the new technology requires a departure from "dual-core" to the more accurate "double-core."
If they are a single assembly, it probably wouldn't matter much . . . . . Anyway, you just need enough Arctic Silver to fill in pockets on the heatsink and processor cap surfaces, and to facilitate an even contact with the silver evenly distributed over the cap.
I always think I put too much on -- sometimes justifying my excesses with the excuse that it's "long-grain rice" they're talking about in the application instructions. But even then, when removing a processor, there was not much indication of any bounteous oozing from between the cap and heatsink surfaces.