If you are imprisoned for embezzlement, do your time, get your name cleared, then do it all again, and again, do you want to hire them as your purchasing agent? I think the answer here is going to have to be on a case by case basis. I'd maybe hire someone for that position if their repeat offense was unrelated and unlikely to impact the position directly (such as, I don't know, 2nd degree murder from DUIs). I'd be wary if they came to work drunk, but that's a separate issue that I'd be concerned about for anybody.

Why not leave me in prison then if we're certain I'm going to do it again?

If the chance of me doing embezzlement is the same after I come out of prison than if I had never been to prison, what is the basis for caring whether or not someone has been to prison?

This assumes a justice system that works, at least in the sense that if you commit a crime and get prosecuted, the following actions are sufficient to prevent or deter you from doing it again, which given things like plea deals, etc. is not.

If we just want to reduce our justice system to a social credit verifier and background check database maintainer, or if this is really the best that can be dne, fine, let's admit that so we can try to do it a lot more cheaply than what we're doing now.

It also ignores how the criminal justice system works, especially in the US, on both ends. Money buys all sorts of sealed, adjudicated, pardoned, plea-bargained down to a misdemeanor, etc, type solutions. Lack of money makes it easy to press "accept this plea bargain or risk eons in jail" convictions on innocent people. There's also a myriad of ways to enhance charges that make a relatively minor crime sound much worse.

I don't want you in prison. I just don't want to interact with you.