The reason Intel (imho) isn't using solder, opting for paste is cost. That's it in a nutshell. A trained monkey working for 3 bananas a day can slap paste on a lid before its welded to the die. Solder is a whole different beastie. It's gotta be heated to exacting temps, exacting amounts have to be applied, the lid needs to be applied in very short order or there's no weld between the two etc etc etc. Solder is temperamental, finicky, exacting and it's a one shot deal. Screw it up in any way, toss the cpu, it just failed QI. Screw up paste (like that's never happened before,) test cpu if it works, keep it, sell it, it's good (haha) or pop the lid, wipe it off and throw it back on line. That's not counting the fact that pastes can be slightly different in makeup, and still work, impurities being next to meaningless, whereas if solder is off, that changes the melting point, cooling speeds, even viscosity. All in all, it's a much more complex application than paste.
And when you have to pay a Hollywood actor to tell the world that 95% of the world's internet is run by Intel processors, the money had to come from somewhere, so go cheap paste or dig into stockholders profits.