The best way to see if someone will perform well at a job, is to have them do that job and see. The second best way is to ask them for proof they succeeded at a similar job. That proof is usually a combination of references and a discussion about work they did at the previous job.

If you can't do any of those things, like for some recent grads, then the next best predictors of job performance are going to be psychometrics, specifically IQ and trait conscientiousness. Colleges heavily select for these traits during admissions, but less so with the actual course work. These traits are most predictive when you expect to teach a person the job on the job, with their prior experience being irrelevant.

So it's not that there is no evidence for these questions being useful. It's just that there are usually better signals on offer.