This is already the case in some countries, including The Netherlands. A background check is done for a specific "profile", and convictions which aren't relevant for your job-to-be don't show up. Someone with a DUI can't become a taxi driver, but they should have no trouble getting a job as a lawyer. Got convicted of running a crypto pump&dump? Probably can't get a job as a banker, but highschool teacher or taxi driver is totally fine.