I have known of people that have maintained alveopora for a long while in captivity, although personally, never seen one more than 3-4 years old. I have seen significant growth though.
In order to keep them, as with any lagoonal species, you must not overskim the tank (or feed a higher proportion of particulate foods). If presented with the proper environment, I am sure it would survive, but not well in an sps dominated reef crest style tank.
Wade