You might think so, but historically that doesn't seem to be the case. Prices rise as interest rates drop, but prices are sticky on the way down. This article is old but still relevant: https://www.theatlantic.com/business/archive/2011/07/how-ris...
> Mortgage interest rates will rise. We can't be sure exactly when rates will begin to climb or by how much, but we know what's coming.
11 years later it finally happened