XeknosThis entire premise is flawed. People don't become lazy when their basic needs are met. You enable them to pursue their passions and dreams. The greed that drives late-stage capitalism has been a far bigger threat to human development than anything the socialists/communists could dream up. Our lack of regard for basic humanity is tearing us apart.
I'm going to use this to get back to the actual lore discussion on life of low-caste people in the empire.
The entire point about being lazy is completely missing the point. If you don't need to work, why would you do something which you don't enjoy? That could be delivering goods, cleaning, door/telephone salesman, customer support etc. I'm sure there are plenty of people who work in those example roles who enjoy them, but I'm equally as sure as many people who work in low-qualified work doesn't enjoy them.
They may chase their passions and dreams, make music, draw art, play games, go exploring. Anything -they- dream of. But many of those things have no benefit for the society. The "lazyness" is not lack of doing something (that's apathy), the lazyness are not facing and doing things you don't want to do. I don't want to do dishes after dinner, but I do it because someone got to, and so on. Which is where the Empire come in: They don't use robotics to any large degree (fed does), and instead utilise slaves/cheap labour to do that. Their industrial factories doesn't have robotics doing the hard work, they use cheap human labour. Sure, your needs are met as a slave (or 1 rung up but arguably the same), you survive. But do you think that's what they want to do if given the choice? Work in a factory all day? But someone got to do it. And I'm sure that's not done by people with wealth and contacts in the Empire, and I'm also sure that there's not much choice in the matter. I would be very surprised if there weren't plenty of debt-traps for the poor to ensure that a sufficient population of slaves can be maintained which keeps the empire going.
Think I'm wrong? Okay, then explain how the Empire could possibly compete with the Federation or even the Alliance when they don't use robotics to any significant degree if everyone were actually free to do things they enjoyed? It may be 3307 but I doubt significantly portions of the human population suddenly got really interested in repetitive manufacturing labour.