Hands on the ground don't read the laws, they only bring people before the person who actually knows them.

So no, ICE goons will do the basic thing -- check how white the person is, if not white enough, ask for documents, if documents are not convincing enough to them, snatch the person and let the more nuanced decisions to be made by those who can read.

Now if the person above them isn't agreeing with interpretation of the law that was used to issue those documents, it's sitting in the jail waiting for a judge time.