People who own nothing that can produce continuous value will not have anything to trade with in the long term and will effectively be excluded from the economy.
People who don't want to depend on the government could always spin up their own AGI and become self sufficient. Some solar panels, a few robots and some farmable land are probably all you need when it comes down to it.
People who own the means of production, the factories, the mines, the farms, the power stations, … etc. will control who they sell their goods to and for how much.
Having to rely on the government is scary. If you got a bad government you are so screwed. You have nigh zero leverage as you have nothing to offer anyone.