Well, in contrast, if anyone has ever asked, "Is this true capitalism?", which is doubtful, the response was probably, "No idea, but it seems to be quite profitable!"
We know that Socialism and Capitalism are economic systems and not political ones. You can have Socialist Democracies and Capitalist Dictatorships.
And that's actually what a lot of people don't get. Down to the core, the key difference between capitalism and socialism is essentially "Who do the farmers work for?"
In capitalism, the farmers work for businesses to whom their land belongs.
In socialism, the farmers work for the government to whom their land belongs.
The various sub-tropes of each are variations on a theme. Even Libertarian Socialism -- that bizzare stateless fever dream of deeply confused Marxists -- really just replaces the state with a large amorphous dis-unified entity that nevertheless remains a state.
Under capitalism, we call those farm hands
or employees. Our farmers overwhelmingly own their own land, with over 2.2 million farms, 2 million of which are family or individually owned, while only 10,000 are corporate. Only 907 corporate farms have 11 or more stockholders. Tenant farming is also rather rare, less than a tenth of the total. The US Census Bureau knows all.
Under capitalism, farmers own their own farms. But you were correct that "In socialism, the farmers work for the government to whom their land belongs."