Actually, the idea that all hospitals (even rural ones) will provide all services is the red herring.  If you suffer a brain hemorrhage, your local hospital will diagnose your condition and send you on to the nearest major centre - which may be hours away.  Similarly, if you have a terminal illness, you won't be dealing with It at a rural facility.  Hence, no need for rural hospitals to provide assisted death.

Your second point is an argument against your position, not for it.  Competency in end-of-life management is not trivial, and thus skills and equipment will be concentrated at one hospital in a major centre, just as oncology services are.

You and Mr. Picard want to make this about values, but it's not.