Probably and it seems a good compromise to me. Under asylum law, "illegal" is technically wrong until the final judgement is rendered. And "undocumented" is IMO

Probably and it seems a good compromise to me. Under asylum law, "illegal" is technically wrong until the final judgement is rendered. And "undocumented" is IMO an obvious manipulation of language (you would not call a doctor practicing without a medical license "undocumented"). Pending a decision on legality, "unauthorized" seems both neutral and correct.