And they would pretty quickly realize what a burden is created by the existence of all these people with nothing to do.

A few AI-controlled machine guns will keep that burden far away from them.

and then they'll deploy their killbots

Its not up to them. If we completely automate hunan labour, capitalism will collapse. Its only a matter of time that people will demand collective ownership of the means of production

What incentives do they have to satisfy people's demands?