Currently if you want to move a lot of stone, ore, straw or whatever you need to get a bunch of crates/coffers/chests, put everything in them then load them on cart. And/or fill a cupboard and start walking. (See my avatar

)
This seems a bit backwards.

A wheelbarrow would be like a cart, but instead of holding liftable objects - it allows to store some amount stockpileable items of one kind.
Basically a mobile stockpile.