I've put tomato vines and leaves in my regular compost bin for a long time. It has become VERY colonized by compost worms, and I find them on the decaying vines as often as not.
My only caveat is that worms don't seem to be much help with "browns." Sure, those browns will eventually disappear in a worm bin, but since worms die at temps much above 80 deg F or so (depending on your source of authority), you'll never get the heat needed to break down those browns.
So the worms will eat the leaves, but the stems might hang around for a...while.
Sunset Zone 17, USDA Zone 9