The reason I don't agree with this is how much prices move to the margins. Look at real estate, cities that have a small fraction of super wealthy workers (SF, NYC, DC) have markets where the prices are determined by what the super-wealthy can afford to pay, and effectively it's a form of wealth extraction where long-term local landowners, most of whom are already relatively wealthy, extract value from the businesses that are making some people super-wealthy by refusing to allow new development to keep up with demand.
The losers in this scheme are literally everyone else, paying a steeper and steeper cut of their income just to keep their job.
Also, no offense intended, but saying that $8000 per head would not make a difference sounds out of touch to me. If you have a family of four and your household income is $30k, $8000 could be life-changing.
I agree with your broader point though that cash redistribution is not a real solution. What I would argue is that we need to be thinking about how to systematically reduce cost of living / increase quality of life, and ideally how to do this at a cost somewhere below $8k a head :)