No one is saying he should not work. Just that he should not work in the NFL. Embezzlers do not get jobs at banks or working with money. Until all sports orgs - amauter and pro - start kicking and banning the thugs from their outfits, they will never be free of the Vicks, Stallworths, et al.
Your argument would stick if he were involved in cheating of some form, or bribing. The crime was unrelated to the sport. If he didn’t deserve another chance, that should have been his punishment. If he shouldn’t be able to get a job after serving his time and paying his debt to society with a chunk of his life, then they need to adjust the criminal justice system to match that. If the justice system is working properly, then he should be treated as anyone else who makes mistakes.
As Obama (who is Above [his] Pay Grade) mentioned earlier, you and I might not want to have anything to do with him, but if the Eagles do, that’s their choice.