Phil,
I personally usually ride aligned with my binding angles, as you recommend. However, I've found this advice is often simply not enough for new carvers who don't know what they're feeling, and who are suffering from the surfer style of facing the toe edge on heelside carves. Usually they can start a heelside facing their bindings, but the board rotates underneath them and they finish the carve facing purely down the fall line as their board traverses across it.
Often in my instructing experience, I found I had to overshoot the target in order to hit the target. Telling a student to reach their trailing hand forward throughout the carve was a good way to get them to stay with the board. Whether this aligned them with their bindings or the board, the results were always a marked improvement.
On another note, I'd also argue that at binding angles around 60 degrees, a 30 degree twist in the body is not going to be significant. But I certainly wouldn't advise anyone to twist beyond the nose of the board.