Hm, I don't have any St. Augustine - no lawn to speak of at all in fact. But I have plenty of crabgrass. Possibly St.A is more salt tolerant as I know it's widely used for lawns out on the islands. Maybe the baking soda study was to get rid of crabgrass that is IN St.A lawns?
I'll give it a shot out in the veggie bed and see how the crabgrass reacts. We have dry weather for a few days in the forecast.