> Nope. In fact they accept utter garbage most of the time.

Unless you enrolled in a fraudulent, make-believe University of Phoenix style program, no. Any real PhD program only counts publications in a closed allowlist of reputable journals. Those journals are peer reviewed and enforce quality and relevance standards.

> I can't count the numbers of times I've caught pure errors (literal logic errors, code errors, mathematical errors) even in highly respected journals.

That's fine and all, specially if what you actually want to do is take a shot at humble bragging, but back in the subject papers are supposed to be snapshots of your understanding of a topic that can be used by others to inspire or advance their exploration. This means they are not infallible or free from criticism. In fact, it is rather ok brand to publish papers improving upon prior publications by correcting errors, improving methodologies, and even presenting contradictory evidence. That is what it means to be at the bleeding edge.