I think it was a great question to pose when you asked if it is fair to say that as mortgage rates rise does that mean home values lower in step...
But I don't think there's a correlation there.
I am an equities trader, and a real estate investor and one thing is for certain about the dropping of real estate values:
It was overdue.
Real estate is historically a cyclical investment vehicle with an upside bias in the long term. Much like stocks, but we witnessed an artificial real estate bubble in the past 6 or so years akin to the dot com bubble in the late 90s.
The fact that mortgage rates are rising is not a direct correlation, IMO, of falling real estate prices.
Great q though! One of the best I've read in a while,
-HedgefundJim