There are 2 big problems though: You've got a huge overhang area, so if you do use flux, it's not going to be able to escape, and will stay as voids in the joint. But if you don't, you'll have to find some other way to replicate the cleaning and oxide stripping behaviour in order to get the solder to bond properly. Chemical cleaning and then storage/soldering in an inert atmosphere might help, but I don't know.
Secondly, and perhaps more importantly, it's really quite hard to reflow (heat to melting point) the solder layer attached to your big heatsink, without bringing the whole assembly up to that temperature (what with the whole point of the heatsink being to get heat away from there as fast as possible). And if you do that, even if you don't fry the chip straight away, you've now got all that thermal energy stored in the large mass of the heatsink to dissipate. And it has to be done relatively evenly to avoid mechanical stress on the joint due to material expansion/contraction.
Actually yeah, having thought it through, it is going to be pretty tricky :)
[1] https://en.wikipedia.org/wiki/Quad-flat_no-leads_package
There are 200W Power 7 CPUs, and they don't have to worry about aftermarket cooling like high end x86 CPU manufacturers do. It seems like it could really make sense there.
Lots of this is market based, not technical. The only competitors to Ivy Bridge are from AMD, and frankly don't compete well. There's simply no pressure to produce a "pull out all the stops" max performance chip. They have a comfortable margin even with comparatively poor heat sink designs, so they might as well save the nickel.
In contrast, the TIM is much more flexible, and the reduced heat transfer might actually work in its favour, by buffering sudden thermal spikes to reduce the cross-die gradient (and thus stress).
http://www.intel.com/content/www/us/en/silicon-innovations/i...
E: turns out it doesn't really help[0], though that doesn't mean it wouldn't have been better if soldered.
0. http://www.overclock.net/t/1249419/pcevaluation-intel-i7-377...