Lapped bareback?
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Solved by BobVonBob,
Assuming almost absolute perfect flatness, yes. We're talking optical flat levels of flat. Even then, heat expansion would probably cause enough movement to create poor contact. In the real world use thermal paste, heat transfer between two non-conforming objects was never meant to be.
Assuming it did work, which is a very bold assumption, thermal transfer is a maybe because nobody has studied this before as far as I can tell, but I'd suspect yes it would be better given the IHS and cooler would nearly be a single piece at the levels of flatness required. And yes, the thermal conductivity would be that of copper.

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