Are you talking about all rents, or controlled ones? The post above wrote that rent control rules in SF limit increases to "60% of CPI, so it can’t even match inflation". If that's false, then my post doesn't apply, sure.
Rent is far above its CPI-inflated average right now, so saying that rent increases must match inflation makes no sense. The time to do that would've been long ago. But in any case I'm pretty sure rent increases are capped at much higher than inflation.