Before 1981-4 (can’t remember the exact date) the cost to buy a house was included in the CPI, so really we are experiencing inflation of the 1970’s if you calculate it the same way we/they did in the 1970’s, so 10 to 15% is not that far off I believe.
Also eventually rents do meet the cost to buy (within 10-25%)
(Assume 20% down 30 year fixed as your base)
So there is a lot of inflation in the pipe the Fed wants you to ignore …