And our AIs can give us insight into what is the highest salary that the given company can offer.

"Our AIs"? The AI models belong to giant corporations (Google, Microsoft) or are receiving millions of dollars serving giant corporations. How are they yours?

A better solution is passing laws on wage transparency. For most jobs, the company has a range in mind. Make them post that range in the job offer itself. Short of robust labor unions bargaining for better wages, transparency in the job posting is the next best thing.