Tax decreases linearly with the price of the property. At any rate, rents and taxes are sufficiently linked that tax can be ignored for the comparison.
As for interest and PMI (assuming you need to pay it), I'd say housing prices falling far enough where rents start looking attractive compared to these qualifies as "something deeply wrong".
Why would tax decrease linearly with the prices of the property? The residential property taxes I've seen are just a flat percentage of assessed value.
Between Prop 13, rent control, and NIMBYism I would say there is something deeply wrong with the SF real estate market. It is terribly distorted and I want nothing to do with it, as either buyer or renter.