DZ, yes higher rates hurt at the margin. But not for the 97% of homes with no mortgage or locked in fixed rate. Especially for the buyer wanting to max out his house quality with a given payment.
And for the remaining group, rates are rising with inflation, which positively affects wages, buying power, rents, cost of new construction.
Last time rates popped was a buying opportunity, and it only took a year before you could refi into much lower rates.