the problem with back to front is that people in the back would put their bags into overhead bins in the front, which they can easily pick up on the way out. However, you cant walk backwards for pickup, so the read overhead bins would be empty and inaccessible by the people boarding last.
I was a traveling consulting when people did such things. I got to see this silliness 2-3x/wk
I think it’s just that your eyes’s reach trends towards the front of the plane. If it’s busy when you try to stow away your bag, chances are you will prefer putting it in a meter towards the front of the plane (where you’re standing anyways, waiting for the person before you to stow away their bag) over cramming it in above your head, where the other bags already are.
Incentivize people back towards checking their bags, the process would be more efficient all around.