Well - bottom line to me is - we MUST gain adequate function - with either hand.
All my bullseye shooting back in the dark ages makes strong hand shooting quite reasonable but weak hand ... another matter! I need to concentrate on that even more - it is better but needs to be better still.
We just never know how we might suffer a strong hand injury - and so have to use weak - plus too, very important - reaching and drawing strong side with weak. Not so easy!
Training with both is essential IMO - not to be over looked at all.