Members don't have to pay the daily resort parking fee when staying at a DVC Resort (regardless of payment method).
Members don't have to pay the daily resort parking fee when using points to stay at a non-DVC resort through the Disney Collection.
All others stays are subject to the daily resort parking fee.
Parking isn't a membership extra. It is paid for by dues and attaches to the real estate interest. Because you are not in a DVC unit or paying with points, you pay parking.