No, animal farm (book) is not a critique of communism/socialism
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It’s a critique of stalinism but communism is generally represented as a good thing
The book starts with the animals being oppressed by farmer jones, the animals toil and die to generate resources they don’t get to control or enjoy. The chickens have no say in how jones takes their eggs, cows have their milk taken without consent, Boxer toils in the field, cattle is killed to make meat.
The animals (proletariat) are exploited for the benefit of the humans (bourgeoisie).
One day the animals have enough of it and hunt his ass away, after that they start establishing a society, among other rules meant to differentiate them from their oppressors, the most important rule was declared “all animals are equal”
After that things went well, some problems of course but they were figuring out. that is, until Napoleon (the representation of stalin) happened, he got a cult following, disappeared Snowball and started changing things for the worse.
On a deeper level Animal farm is about how corrupt individuals will use the genuine wishes and needs of positive movements to radicalize said movements into systems of oppression even against the people the movement was supposed to elevate in the first place.
Also Orwell was a democratic socialist who fought authoritarianism from both right and left sides.