1. These tools are wrong a significant % of the time
2. They have an upper complexity bound where they start to fall apart
Relying on AI to check AI papers is a terrible idea
But where they do differ is they do have an infinite stamina, and can work on problems in loops, self-correcting their own mistakes if a formal way of checking the correctness of the solution exists. Which does happen to be the case with math.
and why does this "peer-review" new-age thing cannot be used to scrutinize AI-writted/AI-assisted papers?
Aaaa, you mean 'peer-review' by AI?
Then the answer is: What is the use of a paper no human understands? Then no human can see that the techniques from the paper can be used to build something useful for real human life.
OK, ok, AI can decide to use those techniques to do something in real life it considers useful.
Are you now getting scared? Why not?