I've started (January) doing this to a patch of lawn I want to turn into a vegetable bed for spring.
My wooden slatted compost pile is full, but I still have new kitchen waste to put somewhere each week.
So I've been digging the turf into spade sized sections, and stomping the turf squares back in place once the scraps are in the hole.
No foxes have bothered disturbing it yet, but if I have any meat / bone scraps I might dig a lot deeper before replacing the turf.
Any ideas how long it will take the worms to finish their job? Will update with my results here in April.