Half of that is inflation. Most of what remains is the anomaly in housing prices in 2009 https://fred.stlouisfed.org/series/MSPUS
Inflation adjusted median US home prices Q4 2024 where 419,300 vs Q4 2006 ~382,00 that isn’t flat but the difference is far less interesting.
Median home prices aren’t very interesting because most of the increase is limited to specific competitive areas, and median US home prices hides that effect. I’m sure houses in deeply rural areas haven’t gotten much more expensive, but it isn’t relevant to me.