Well, until such a program starts, if it starts, we really won't know. If need be the grocery services and OL could make an appointment to deliver directly to the guest, and if that guest missed or cancelled the appointment, charge an additional fee.
Until there is an actual announcement of this program, it needs to be considered nothing more than a rumor. And apparently, as other Disney fansites haven't picked up on the rumor, probably not a rumor with a lot of credibility so far. If one website says a change will happen, you can say "maybe" if a lot of websites say a change will happen, it likely will.