One flaw in this analysis is that the source he cites for antidepressant effectiveness didn't include tranylcypromine (or any MAOI class drugs), which the STAR-D trial found was one of the most effective antidepressants.

(The STAR-D had a cumulative remission rate of 67%, I don't know how to convert that to the format he used)

Otherwise I agree that vit D and omega 3 are underrated for depression, it would be interesting to see if they have a cumulative effect with antidepressants.