Seems like the bottom line here is to determine which eye and/or which hand works for you and gets the rounds on target and stick with that in practice to make it second nature.
In years as a police firearms instructor I encouraged students to do exactly that while other instructors stuck firmly with making the student do everything the "proper" way as stated in the manual. I like to think I was a bit better at taking a student with deficiencies and getting them qualified despite their handicap.