hey,

do you mean bringing over your arm like a windmill? in that case I wouldn't know a name...

in TI "bringing over" with a high elbow is called zipper skate. but the stroke is not completed in that drill.
Then there's zipper switch where you actually do one full stroke and then breathe.

You say you breathe to your left - always? Do you think it would be worth balancing it out and being able to breathe both sides?
possibly you found your stroke stronger/with less effort because you rotated properly....?

yep, it was hard. Well, difficult and demanding patience. I think after 2 years now, I can consider myself to have an "Ok" stroke.