you may want to double check that. The AZ website says otherwise pretty explicitly. Also, many states have laws that say if you hold resident tags in any other state then it is illegal to possess a resident tag in that state. And with todays electronic tags it is very easy for the states to communicate and share that data and cross check resident tag status.
Change Of Resident Status
If a lifetime license holder subsequently changes resident status from Arizona, the licensee must then purchase nonresident stamps, tags, and permits. A nonresident tag or stamp can accompany your lifetime resident license. The lifetime license will remain legal for the taking of all wildlife as permitted by law. Residency may be re-established after moving back to Arizona and meeting the required time period as set forth by law.