Housing is going to correct in a serious way, and soon.
Quantitative easing artificially keeping lending rates low screwed the housing market. That's in the process of correcting in a major way.
At the same time, the increasing rates are going to hit the stock market in a bad way, decreasing general liquidity for down payments.
The real headline is: "you can't keep high prices and increase mortgage rates amidst stagnant incomes."
A few other considerations:
Baby boomers are a huge population. The generations afterwards simply don't match their numbers. That generation is still primarily homeowners. As they age, that's no longer going to be the case, and the supply constrained market is going to reverse as houses get handed down or put on the market.
New developments and construction/renovation are targeting higher-end buyers, which makes affordable housing hard to find. But as everyone races to chase the higher end buyer, eventually there's going to be an over-supply and the market will tank. This was in part one of the contributing factors to the 2008 crash - new developments ended up as wastelands that eventually ended up as "affordable" housing because the buyers disappeared.
Personally, even though I'm open to buying a house at the moment, I'm staying the heck away from the market. I'm already seeing properties in my area sold a few months ago put back on the market initially for more, but then dropping the price below what they bought at.
We're approaching the cusp of the upward wave, and as rates increase, a lot of people that bought in the past two years are going to be stuck with whatever they bought into for a good while.