I think the joke there was not that people IRL who want a fairer economic system are just lazy, I think the joke was that Randy and the other men who couldn’t fix things (you notice, all of them were men–they had women telling them to fix stuff, but women weren’t being shamed for not being able to fix stuff themselves) had expanded the problem of doing handyman tasks to overthrowing the current economic system and starting some kind of revolution rather than just…y’know, buying the washers from the hardware store and learning to use a screwdriver. Because the wider the scope of the “task” got and the more high-effort outlandish things Randy & co did in the name of fixing the oven door and other annoyances, the funnier the joke got.
It’s very, you know. How To Fix An Oven Door, where step #57 is “overthrow the government.” And there definitely wasn’t an easier way to get that oven door fixed.
This is another beautifully crafted comment that, like South Park itself, can be interpreted to mean you agree with whatever the reader/viewer’s opinions are.