I find as a lefty a little more turn as I go with more right in my pitches.
I figure as you stated you would find a little more with going left as a righty.
More to the right for you keeps you more behind the ball.
The standard view is that right left are not a major influence but forward and reverse is.
Most gurus today put more forward on their middle finger for more turn and tilt and more reverse in the ring for less lift and less tilt.
REgards,
Luckylefty