The only conflict you might run into is if you shoot certain broadheads that are designed to perform with a certain fletch orientation.
Rocket mechanical broadheads for example require a right hand fletch orientation due to the direction of blade offset.
Some other fixed heads like the Rocky Mt. Blitz and that new NAP Nightmare? (I think it's called?) also have offset blades designed to promote arrow spin.......probably wouldn't be the best idea to use a fletch orientation that is opposite of the broadhead. LOL

Other than that, and in theory your field tips will spin loose because your arrow is spinning opposite of the threads the direction really doesn't mean much.

I do fletch everything right offset or helical myself.