There have been trials of basic income though, so people are thinking about it. Additionally the term 'robot' is very handwavey and could mean anything intelligence wise, so difficult to say what jobs will get replaced and when.
Most of the scenarios that I think to use the word robot, I can very easily conceive that its still underdeveloped and yet to be highly proficient at that task yet. Yet when it can, we will undoubtedly refine the term for that particular robot.
The rich do not have enough money to pay for everyone else to be on the dole.
A universal income will affect behavior, and through that real GDP; at some levels, it may actually improve GDP by reducing job market friction and better allowing people to retrain, retool, and optimize their contribution and their own returns; OTOH, there's certainly a level at which it draws people out of the labor force in large enough quantities to overwhelm any advantage from reducing friction, crashing real, post-UBI GDP.
When taxes go up the money actually comes from middle and upper-middle class people who draw a paycheck, not from super-rich people whose net worth goes up by a billion dollars on a good market day and all without generating any taxable income.