I would have expected a radio to take less than 7 mA from the memory wire. This one is < 1 mA:-
https://www.kenwood-electronics.co.uk/car/rec/dab/KDC-X7200DAB/?view=details (right at the bottom of the page).
I suspect that the Sailnet page showed a reading when the radio had been turned off using the switch on the front. On a boat, you wouldn't want the radio to only work when the ignition is on, so it would be permanently connected to power.
In a car, or with the radio run from a power supply and a 9 V battery, there are two feeds. One to run the radio, and one to keep the memory going, and when there is no power to run the radio, the memory feed may take less power.
However running the radio's memory from from a 9 V battery may not work. I've not had much recent experience of car stereos, but even 20 years ago they had started to move to taking all their power from the permanent supply, and the ignition feed was only to allow the radio to work and took little current. Any radio that has a timer function that allows it to run for a limited time with the ignition off is likely to take all its power from the permanent supply.
What is the make and model of the radio?