1358, in eastern archery the arrow is shot from the right side of the fist, in western archery it tends to be shot from the left. So you weren't doing it wrong if you were practicing eastern archery.

Most eastern archery is also practised from horseback hence the need to have the arrow on the right side of the hand.

I've been a practising martial artist for 24 years, weapons both eastern and western for 16 of  those.

Sorry of topic but hey.