Timing, fuel pressure, compression, exhaust restrictions, coil and ICM have been checked replaced. It doesn't have intake manifold leaks, injectors have been cleaned and checked, battery and alternator are good as well.

Runs fine unless you actually try to accelerate quickly and push past 3000rpm... pcm. Or is there known abs problems with the 2004 ecotec cavalier that may cause this? Video link https://youtu.be/mKJB6ywp2w8

Did you find an answer to your problem? Sounds like a crank sensor breaking down but should throw a code for that. Your p0300 is multiple cylinder miss fire I think.