Things like this are easy to say when you're the employer, you get to select whatever portion of resumes you want with impunity. As the employee that needs a job to keep on living people tend to do anything they can to get their foot in the door. Hence, this is why resume inflation/copying known good resumes was a thing long before LLMs.
Now, if you're a smaller business, you'll very likely notice these effects and the number of resumes is rather small. But in larger businesses they may get thousands, tens of thousands of resumes, and the vast majority of them are culled by automatic processes and people that have no understanding of the real requirements of these jobs and said 'generic' resume might just allow you to get past said filter better than randomly stating who you are.
Speculation is good for finding more questions to ask, not disregarding evidence. That LLMs harm your odds with some hiring managers is evidenced. That LLMs help get you through prior screenings at big companies is speculation. That such effect is greater and also not rendered irrelevant, for example by later review, is also speculation. Combining these three to conclude “LLMs are beneficial here” is not logical, and seems to be motivated by preexisting determination to use LLMs no matter what—the opposite of doing whatever works.
> randomly stating who you are
it's not random at all. that's literally what the resume is supposed to be and what the hiring manager wants to know! This is a real human hiring manager sharing candid feedback on his acceptance criteria. So there's at least one company where this is pretty sound advice.
your point about the dumb filters is plausible but at some point a human is going to read it and try to decide if they want to work with you. If all they have is some AI output, it's going to be an easy no.
>what the hiring manager wants to know
In perfect information theory, yes. In practice we some HN article where on the fifth round some FAANG wants the applicant to juggle dry erase markers while reversing a hash algorithm while standing on their head.
Multitudes of companies use hiring agencies, and at least from what I've seen these agencies are more about numbers than quality. An AI application that overstuffs your abilities is far more likely to be observed than the resume of an earnest person.
Hell, worse than that, there seems to be a growing industry of companies that just put out job listings as a means of collecting information on people and selling it off, rather than providing any kind of job.