personally, when direct reining and wanting the horse to turn pretty clearly to one side, like a 90 degree angle, moving your hand out, in what's called an "openning rein" is not such a bad thing. pulling back, in any way , is what is worse.
When you want to get the horse thinking "turn right", think about kind of activating that rein just a bit to get him to kind of tuck his jaw in toward that side and "think" over there. using the rein as an openning rein can help if the hrose is not listening to the rein, and to your seat and legs which support the turn.
Quiet hands are a great goal, but it does not mean they never change their position on the rein. when I am trail riding my hands change their position on the rein quite a lot. for example., if I want to give the horse all the rein he wants,so I may be riding "on the buckle", that involves a move and then another one to pick back up the reins, or to shorten them if the horse is acting like he may take off suddenly (and by shortening, I don't mean clamping down, but making them short enough that if I needed to make them short , real quick, I could. so, not having them draping down any longer)
it's being able to shorten, lengthen, tickle the bit, open, close the hand smoothly that is important, within the hrose's rythmic striding. if you can do it that way, it's an active hand but not a disruptive hand. whenever , by fault of having poor balance, I bog my horse's mouth, I feel just awful and believe me, it happens. i don't mean to sound as if I never get overactive with the reins.