On average, home prices grow at the same rate as inflation.
I have a graph somewhere showing home prices normalized for inflation since 1945 to 2010. It's a flat line.
Discussion
If you ever find it I'd love to have it. I've been meaning to do this myself because i couldn't find a good chart of it without a bunch of other stuff.
I think nostr:npub1cn4t4cd78nm900qc2hhqte5aa8c9njm6qkfzw95tszufwcwtcnsq7g3vle had a good reference
To echo, I'd love to see the same image/data.