That seems unlikely. Investors are, if anything, the most rate-sensitive, both in terms of borrowing costs and opportunity costs (they will move their cash out of housing and into bonds, if the bond yield is higher than what they'll earn on rent and price appreciation). Ordinary residents will buy even at the peak, risking loss, because they need a place to live, but investors don't buy housing because they need it. They can't rely on other investors being the bigger fool, and so in a rising-rate environment they either buy if they can raise rents high enough, or else they will put their cash elsewhere.