If inhabitants of non-transit areas refuse transit improvements (and transit money), then the transit improvements and associated state money will go to the already labeled transit areas. Everybody's happy.

Why try to convince people to take money if they don't want it?

Edit: People usually ask for everything: landlords of non-transit areas may ask for transit improvements, as well as to keep zoning regulations, as well as to keep their property price at current levels. Hopefully they won't get all three!