You're blaming rent control for SF not building housing even though SF rent control doesn't apply to new buildings built (and hasn't for 40 years)?
Then when rent controlled unit can be redeveloped, there's a desire to allocate various percentages to different income levels. This means that some units have less income for the same cost so it's hard to balance meaning fewer projects get off the ground.
Now there's even further issues about development as a right vs requiring a use permit...
So, there's a lot of contributors, but the political impact of the politics of rent control is significant.
[0] https://www.berkeleyside.org/2021/07/28/uc-berkeley-settleme...