Well, I misremembered what the book I mentioned actually said. Par for me lately. But anyway there are two situations being addressed and different levels of the problem in each case too. For just keeping clogs from forming plain baking soda is recommended once a week. Dumping half a cup of it into the drain and letting warm water drip into it so as not to wash it down but get it to work on whatever grease might already be there. A stronger treatment would be sodium carbonate rather than bicarbonate, or "washing soda" same basic treatment.
It's clogs where you use both soda and vinegar because you need the reaction to break it up. Two or three treatments may be necessary and if it's a really bad clog you'll have to resort to something stronger.
Nevertheless the principle that the alkaline soda breaks up the acid grease is still the explanation for how it works.
And I'm relying on my memory again so may have to do more reading later.