I doubt the J-20 will ever go mach3, but merely because I don't see PLAAF needing the J-20 for that.
And I also don't think speed is limited to merely engine output as you have said, mig. What happened to drag and altitude? Nobody care about those anymore?
So do I (doubt that the J-20 will ever go mack 3). To me, even if the rumor was true that the aircraft passed the wind tunnel test at mach 3, it doesn't mean it can or will fly at that speed. People do a lot of tests on aircraft just to push it to the extremes.
P.S. I just turned the page again!