G, First, what works, works. That said, look at your hand in the position that you describe. See how far it is from where the grip sits in the web of your hand to the end of the ulna in your forearm. For my hand that distance is approaching 3". Turning your hand as you describe is correct to help with the arm/string clearance, also being sure to have your bow arm elbow joint (pit of the elbow facing the bow string) turned as far to the clockwise position as possible (for a right hander) or counterclockwise for a lefty.
Do a search for the thread called "grip question" I posted some pictures of the low wrist grip and it's proper orientation.
Also, you mention that you are not as consistent with the low wrist. I would ask, how long have you tried it? If only for one or two practice sessions, you are not giving it or yourself a fair shot at it. Changing ANY part of your form requires at least 21 straight days of doing it the new way (proven and tested fact) to get it feeling comfortable and to prove whether it helps or impedes your shooting. Everyone's shooting invariably declines during a form change and MUST be expected. Getting impatient is a self defeating occurance and must be resisted.
Again, If it (the high wrist) works for you and you are happy with your shooting don't change but if you are looking to improve, you will find over the long haul that the low wrist is demonstratably stronger and more stable than a high wrist. The low wrist also places the center of pressure of the bow more directly into your arm bone structure rather than having the center of pressure above the center of the bow's grip.
The low wrist is the position taught to our Olympic and National team shooters who are shooting out to 70 meters ( yes target style). But since you asked, I'd recommend to any that the low wrist is "better" and I teach that to all my students BUT there are many shooters out there that can shoot high wrist very well!!! FWIW