We really should be relying on automated systems to catch bugs for the most part, and leave code review for what it's good for: making sure a different human can understand and maintain the code.
In fact, if we manage to catch a bug in a code review that didn't also trigger our automated systems to alert us, that should probably prompt us to look into how we can expand the coverage of that automated system, similar to what we'd do in a postmortem if the bug wasn't caught in code review and reached production, because we can't rely on that happening the next time.