I will argue that the purchase of the Compost was a strategic move to save the voice, the leading propaganda organ, with money.
The dilemma of which you note is tactical in nature. Bezos is likely not active at the tactical news level.
I agree that Bezos is unlikely to have daily interaction with the WaPo editors. But an owner can set the tone for the staff, rein them in a bit with guidelines, or encourage them to go full bore. And, the WaPo is a full-bore 24/7 propaganda organ. He has to approve, at least tacitly.