What are you talking about? Our economic system's very name describes who gets income without they themselves doing labor. The entire point of capitalism is that the capital-owning class gets to profit from the labor of others.
So no, we don't have all income linked to labor. The income of capitalists sure as heck isn't.
but where did the capitalists first got their capital? Why with labour of course! Their own labour, or their family's, or their grand-parent, etc.
a system that doesn't directly link labour with income is basically describing welfare (a basic income for example). The income given to someone receiving this welfare did not produce any output that counterbalances the resources they received - aka, they are a net consumer. Without post-scarcity, there cannot be many net consumers, for what they consume, must be produced somehow by another (who is not a net consumer).
that system was called communism, and so far, it has not had any of the success that those envisioning it had wanted.
I cannot see how ownership of the output of automation and AI could be distributed evenly. At best, the people being made obsolete would be given food stamps and the barest of life's necessities so they don't die in the streets (and even that, is getting hard as earth runs out of resources). Until the day humanity discovers how to obtain a post-scarcity society, all income must directly be linked to labour.