Automation results in centralization of power. It transforms labor-intensive work to capital-intensive work and reduces the leverage of the working class.
You could have a system that distributes wealth from automation to the newly-unemployed working class, but fundamentally the capital-owners are less dependent on the working class, so the working class will have no leverage to sustain the wealth distribution (you cannot strike if you don't have a job). You are proposing a fundamentally unstable political system.
It's like liebig's law of the minimum or any other natural law. You can try to make localized exceptions in politics, but you are futilely working against the underlying dynamics of the system which are inevitably realized in the long term.
As has been seen time and time again throughout history the commoners will only put up with so much and when all else fails and they start suffering a bit too much leverage comes from the end of a barrel.
Note that the stench of inevitability likes to sneak into these discussions of systemic problems. Nothing is set in stone. Anyone telling you otherwise has given up themselves. The comment section attracts all kinds of life outlooks, after all. The utility of belief in some sort of agency (however small) shouldn’t be surrendered to someone else’s nihilistic disengagement.