I started shooting a bow in 1956-I do EVERYTHING left handed-played ball 9 years, golf, throw, write, shoot slingshot, pistol, rifle (military)LEFT handedBUT I shoot a bowRIGHT handed. don't know why.
In my tourny days I have posted many perfect 300 rounds, perfect outdoor 300 PAA rounds, Perfect (560) NFAA animal & field rounds in my day.Won some state competitions & oneGreat Lakes Sectional in my Division. I took 38 biggame animals with recurves with instictive (NO SIGHTs) & finger shooting. I have since taken well over 100 more animals with sights.I shoot with both eyes open.
My brother is LEFT handed in every way BUT shoots a bow RIGHT handed.
Excellent tourny shooter (many 300s) as well & a ton of Biggame kills to his credit.
I do not know why we started off this way but I am starting my 53rd year in Archery/Bowhunting & my brother is just a few years short of that.

My son is RIGHT handed but shoots a bow LEFT due to a lazy eye & I switched him due to that at age 6. He is a very good shooter with several animals to his credit.

I killed 2 wild hogs & 2 Whitetails this year & my brother took a nice 8 point Whitetail.
I have shot left handed & do just fine & my brother has switched for the heck of it BUT we cannot see shooting any better than we already have. Sorry for Long post.