And if the poor live in a rent controlled unit, they don't have any strong desire to live in a similar unit with more occupants on the same lot. They think more like an owner in that sense.
Supply & demand is a great concept but the supply will always be limited by a fixed quantity of land - whether its land in CA, land near transit, land with etc, etc. And some of them may feel the land they are on is hugely undervalued and unlikely to ever remain affordable.
Yes, rent control distorts supply and demand, leading to higher prices.
Land will eventually constrain, but at the moment SFBA has tons and tons of unused air that is kept off the market by zoning.
Apartments exist in 3D space. A 2X height limit increase is as good as a 2X increase in available land.
As an example, look at how many Bay Area companies over the past decades have vigorously opened offices elsewhere, often moving whole slices of their companies to lower-cost areas. They are quite explicit this is due to rising costs. If costs didn't rise, or were rising more slowly, we would have even more demand for housing here. Or, put differently, reasonable increases in supply might not actually help current residents. But they could well increase pain for current residents: more traffic, more gentrification, more destruction of existing buildings and neighborhoods.
So it may be less "poor understanding of certain shallow econ dogmas" and "a strong understanding of what they stand to lose, and how often they've lost at the hands of affluent white people who are sure they know how to fix things". Consider James Baldwin, for example: https://www.youtube.com/watch?v=T8Abhj17kYU
[1] See, e.g.: https://www.wired.com/2014/06/wuwt-traffic-induced-demand/
Its entirely reasonable and possible to believe that neither group will promote an outcome that will help those people.