While I agree, I think you overstate what they wanted.
People aren't that complicated. They aren't really interested in getting a cut of the profits. They aren't particularly interested in income distribution.
What people want is to be OK. It really doesn't get any simpler than that. And people who used to be OK and then were suddenly not OK being displaced by a machine... are going to protest.
And there's nothing wrong with that. I find the language we have to use today absolutely silly. As if you need to have a moral reason to just want to be OK. We feel the need to demonize profits and say its only fair workers get a cut of the profits. And what about the person who ever had a good job to begin with? And they suddenly not deserving of the cut of profits?
Let's be honest about it. People want to be OK.
And when you have something disruptive, the society had better make sure there are ways to be OK.
Maybe it's income redistribution.
Maybe it's government creating jobs for people.
Maybe it's getting out of government so the cost of living goes down.
Maybe it's organizing work sharing programs so more the actual work is spread out.
Maybe it's training people for new work.
Whatever it is... but people just want to be OK... and that's a good enough moral reason to do something. You don't need anything else beyond that. You are a person and you want to live a comfortable life.