Social Keynesianism is the idea that the gov't should stimulate
consumption by acting a a regulatory agent in the economy, i.e.
regulating monopolies and cartels, bailing out banks, minimum wage
laws, etc.
Commercial Keynesianism is the idea that the state should use
less direct measures to stimulate demand and increase consumption.
Commercial Keynesianism uses monetary and fiscal policy to "nudge"
and guide the economy.
Commercial is less radical than Social. A good way to remember
it is social k is a shade closer to socialism than commercial
k.
Both are Keynesianistic because both ideologies are aimed at
stimulating demand
Andy Hall