Read the abstract
It explains what happens if you make the graphene layer too thick. While you might think thicker layer -> more material to conduct heat in *fact* the thermal conductivity *drops* by roughly 1/2. They explain partly why, and why you want to operate with 2 layers (2800 w m^2) Vs 4 layers (1300 w m^2)
Incidentally this implies that their is a *maximum* power you can put into such a layer. Too much and you can't get it moved with just this bilayer.
As for all the oh so smart comments about warm laps it's also about *spreading* the heat load. That processor is what 1 inch square? That's 1/94 the area of an A4 page, The surface might be close to 150c, but there is (in theory) *more* than enough area to drop that temp right down.
BTW The idea of Asbestos just stops your legs getting warm. You still have to dump the heat *somewhere*.
I think as a super heat conductor this is a bit of a red herring. It might have other materials properties. Graphene and other "Diamondoid" materials were predicted to be *major* product of a working nanotechnological production system. OTOH work on high emissivity coatings (radiating the heat at *high* efficiency in the infra red band) *might* pay dividends.