In New Mexico there is no law supporting permanent absentee voter status. But apparently some county clerks maintain lists of people who have requested permanent absentee status. This came out recently when Bernalillo County clerk decided to end the practice in order to be consistent with the law. I don’t know how widespread this is, but when I did a quick Google search, I found articles suggesting that New Mexico is not alone in this informal practice. In 2008, there was a lawsuit on this issue in Michigan.