Comment by BeetleB

Again: I'm failing to see how this is different from pre-LLM days. If you have coworkers who are sloppy in reviewing, then you would have been a bottleneck compared to them back then as well.

Do you not have team meetings with the manager? Examine some of the PRs your coworkers reviewed, find the flaws, bring it up to the whole team, and get buy-in from the manager that he's OK with it. If he is, stop worrying and let the PRs through.

Also, start writing those CYA emails.