That's an over-simplication.

Sure, Jeff Bezos probably wants to make a profit with his purchase of the Washington Post. But the profits there are probably not his main objective as they are too small to make much of a difference to a person of Bezo's wealth.

Bezo's goal is to have a mouthpiece to push his agendas, such as pushing Amazon and trashing Musk properties. So you say that the purpose in doing that is to make more money. But the problem with that line of thinking is that you could reduce almost any action to "profit". You could reach further back and go a level lower and say that making profit is motivated by reproductive fitness, and thus "News organizations are entirely motivated by sex". But at some point you have to let go of the circuitous route from action to final motivation and focus on the immediate drivers of an action.

Politics, money, sex, job security, prestige, etc all all motivations for news organizations, as well as many other organizations.