Have you ever ridden a utility bike, with a front, frame mounted (head tube mounted) box?
This configuration is extremely stable, and actually becomes more stable with more weight in the cargo box. (it has to do with the rake and trail of the fork, it is self centering).
The headtube mounted box can carry seven to ten times more weight than a handlebar basket. It is nothing like a handlebar basket.
Sorry, I was not able to get to a computer on the 26th or 27th, due to heavy snow on Long Island. I am busy catching up on email and such.