This is 100% false. The cost of housing(i.e. rent) is counted. The prices of purchasing a houses is not. This is because the CPI(Consumer Price Index) is an i

This is 100% false. The cost of housing(i.e. rent) is counted. The prices of purchasing a houses is not. This is because the CPI(Consumer Price Index) is an index of the cost of consumption. And rent is the cost of housing consumption. Purchasing a house is the cost of buying an asset that produces housing.(which you can then consume yourself or sell to someone else.)