That's what socialism actually is.
AOC, Ro Khanna, Bernie Sanders are not socialists. They are social democrats.
In America (largely due to GOP propaganda), socialist has been perverted to mean "higher taxes, big government, more spending".
Not really. "actual" socialism is the public (usually through the government but not necessarily) controlling the means of production rather than them being in private hands.
It doesn't imply anything about people not working or wages being flat, though the public could choose towards that.