A house is too large a portion of a person’s budget to be able to directly track CPI, or core inflation.
You’re better off looking at income/wage growth.
As Diego said inflation is off the charts lately, contrary to published data, but incomes determine what people can afford. If incomes are up X-% over Y-time houses are more likely to follow that than CPI. Of course incomes are supposed to keep up with inflation, but inflation is usually lower than it is.