I guess this is a bad idea if these tools replace peer reviewers altogether, and papers get published if they can get past the error checker. But I haven't seen that proposed.
This made me laugh so hard that I was almost crying.
For a specific journal, editor, or reviewer, maybe. For most journals, editors, or reviewers… I would bet money against it.
[1]: Maybe not in the strict original sense of the phrase. More like, an incentive to misbehave and cause downstream harm to others. [2]: https://daniel.haxx.se/blog/2024/01/02/the-i-in-llm-stands-f...
The only false positive rate mentioned in the article is more like 30%, and the true positives in that sample were mostly trivial mistakes (as in, having no effect on the validity of the message) and that is in preprints that have not been peer reviewed, so one would expect that that false positive rate would be much worse after peer review (the true positives would decrease, false positives remain).
And every indication both from the rhetoric of the people developing this and from recent history is that it would almost never be applied in good faith, and instead would empower ideologically motivated bad actors to claim that facts they disapprove of are inadequately supported, or that people they disapprove of should be punished. That kind of user does not care if the "errors" are false positives or trivial.
Other comments have made good points about some of the other downsides.
Unfortunately, no one has the incentives or the resources to do doubly triply thorough fine tooth combing: no reviewer or editor’s getting paid; tenure-track researchers who need the service to the discipline check mark in their tenure portfolios also need to churn out research…