I've often had cider made from reconstituted AJC in the US. It was okay, but I doubt anyone would choose it over cider from fresh juice.
FYI: there's a fundamental difference in the logistics of juice distribution between the US and Australia..
In either country you can buy fresh squeezed juice, but most of the trade is in juice from concentrates, one reason being that fruit is seasonal. The difference is that Australian processors reconstitute and then bottle and ship. In the US they ship most as frozen concentrates, the stores sell it, and buyers dilute it, usually one container of concentrate to three of water. That saves on shipping, handling, shelf space and retail costs.
Note: cordial is not concentrate, it's concentrate or juice with much added sugar.