Miss Greene must not realize that Catholics can still give to their local church without giving to the Archdiocese.
Lots of Catholics just ask their pastor about what kind of restricted funds their parish has, and they make out their checks accordingly. Those funds stay 100% in the parish. One pastor, and probably there are more, tells his parishioners that if they contribute specifically to his parish's restricted funds, none of that money will go to the Archdiocese or to pay for the Cathedral or the abuse awards.
Contributing that way fully meets our obligations to Holy Mother Church. Catholics who do this ask why any Catholic would think of doing anything else.