I ride almost exclusively in a s-hack. While I generally neck rein, our endurance horses will sometimes have a high energy moment where direct reining is necessary and I have never had one not understand what I was asking. My DH exclusively direct reins when he rides.
Personally, we use a padded noseband (which we jokingly call a hack-a-less), but I did use a rope-nose on my green horse last season at the beginning of rides, as he got a bit hot to start with.
Many places will customize tack now, so I would think finding a noseband appropriate for a bigger-than-arab horse wouldn’t be a problem.