What I wonder is, since it is so easy for this one researcher to catch these flaws and lies, why are these not being caught by peer review?

Increasing seems like peer review is a waste of everyone's time, and it's be better to just publishing when you think your ready on the likes of arXiv, and let everyone examine and criticize it.

Run it up the flagpole, see if it gets saluted or shot down. Seems like there's be much more of an incentive to run confirmation studies.