ny poolguy, because baking soda has a PH of about 8.4, it tends to push the PH towards 8.4 when added. Compared to other things you might use to raise PH, baking soda is a very weak base, so the PH shift is only significant when the TA level starts quite low and the PH starts very far from 8.4.
TA has two independent effects. It increases the amount of a chemical that needs to be added to get a given change in the PH, kind of like adding friction on the see-saw axel. And, it tends to put "pressure" on the PH to move towards 8.4, kind of like a rubber band trying to pull the see-saw towards the 8.4 position. The more the rubber band gets stretched, ie the further the PH is from 8.4, the more pressure there is on the PH. The higher the TA level, the more friction on the axel and the stronger the rubber band gets. Also, the rubber band gets stronger faster than friction is added to the axel, so the PH is more likely to move the higher the TA level is. To finish off the analogy (which is getting a little stretched

at this point) aeration is like some special lubricant, that lowers the friction on the axel from the point of view of the rubber band, without lowering it from the point of view of adding chemicals. (I think the analogy just snapped

)