Despite Intel's well-documented anti-competitive practices, AMD had decisively gained the upper hand in performance by the time of K8 (2003). Intel's microarchitecture at the time, NetBurst, was uncompetitive and relied almost entirely on inertia, and yes, anti-competitive behaviour to retain market share.
Core leap-frogged that and Intel remained ahead for the better part of a decade afterwards. To say that Intel sat on its laurels between the time of the first round of antitrust litigation in the early 90s is quite inaccurate.
It was a better processor: https://www.anandtech.com/show/1963
I agree that Intel did engage in a lot of horrible anti-competitive things, but that has nothing to do with how incredible Conroe was. I find it kind of funny how this whole AMD vs Intel competition gets people's emotions running as if its their team and turf.