Well-behaved apps won't ask for permissions they don't need anyway, and badly-behaved apps will simply refuse to run without all the permissions they (and their ad services) request.
Without the ability to pretend to have the permission but not actually provide useful data, this really won't help much.
On the bright side, at least a subset of these do behave in the sensible way: various reports suggest that calendar and contact accesses will successfully return empty results rather than erroring out, for instance.