Consider the story as a political commentary.

Yes, the whole story is a political commentary with all the social and political (socio-political) ideas that go along with it. If you refer to your previous question, we see that Orwell meant to satirize old Russian politics. This power structure can also be seen, in carrying degrees, to socio-political matters in most countries or even large private companies. There is politics anywhere. Power and corruption seem part of the fabric of human nature and Orwell's animals satirize this quite well.