Okay, here's international correlations between income inequality and property crime .https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.86...
The best thing I could find for the time ranges you discussed suggests you are wrong about San Francisco, at least in terms of the last ~50 years and violent crime rates, which dropped 43% from 1975 to 2015. https://www.themarshallproject.org/2016/08/18/crime-in-conte...
The nationwide crime rate also went down during the same period, so I'm not sure that is really fair to your argument.
That said, more broadly here's evidence of a correlation between crime rate and income inequality, including property crime, using US cities that isn't time based. https://www.zippia.com/advice/crime-income-inequality/
Here's one showing that income inequality by neighborhood correlates to property crime rate. https://journals.sagepub.com/doi/abs/10.1177/004209801664391...
Here's a study about people on probation in San Francisco that shows that housing insecurity drive recidivism, and that that's particularly strong correlation for low level offenses like property crimes https://www.researchgate.net/profile/Leah-Jacobs-3/publicati...
Anyway, This paper suggests that increasing wages among low income workers decreases crime https://www.econstor.eu/bitstream/10419/90836/1/wp0017.pdf