If your documentation is lapsed, you are undocumented.
I'm sorry but that is not how it works. You don't dissapear after you've handed over your finger prints, etc. to the FBI. You are in the system as much, or even moreso than the average American.
You're valorizing certain labor as having more utility than another.
I'm afraid you have misunderstood. I am trying to point out that if a person has gotten a job (any job) paid taxes, made themselves valued contributers to society, that they deserve more conisideration than the ones that don't. So lets disregard the nature of his or hers occupation.
In the eyes of the law, documentation isn't about its origins, but about its current status.
This is why undocumented is such an effective rethorical term. Undocumented and having your papers run its course without renewal are both considered unlawful yes, but one person is documented, and the other one isn't. That is how they track 'm down in the first place. The undocumented immigrant who snuck in and works somewhere in a kitchen, remains in the shadows and unmolested by ICE.
Once you enter the US lawfully, documented, they will find you. You are required to send in a form everytime you move. If you don't, they can send you away. They have lots of rules in place that ensures them that they can find you. these rules are not applicable for the undocumented immigrant who washed up on the beach, etc. They do not have the scrutiny like we do.
Will the police treat you differently than a person who never had a license in the first place?
Yes. An expired license will get you a hefty fine. Repeater will be treated more harshly. If you can't provide a license after you receive your ticket, thus having none at all, you may face jail. But, this differs from state by state, so it makes a less than ideal metaphor.
And if you're black, they may shoot you for all of the above.