Every area will be slightly different, but I don't think it's realistic to say prices will never go down. Over the long term it will continue to increase, but there will be periods of volatility.
So you have 4 actors, the Fed, the US Treasury, the Congress, and the President. Only the first one can manipulate the rates, and that one has only an indirect interest in how the long term debt of the Government looks like.
In that case, why would a higher interest rate affect the ability to pay historical debt?
Prices will match demand, no?
So yes, prices will move with demand, but it won't be quite as simple due to the debt instruments involved. Essentially, prices will drop due to the lack of demand from a lack of affordable debt. Just my hunch.
My opinion is that the current housing surge is being driven by people who need more space for screaming children and home offices and are willing to pay whatever they need to for it. I know it's why my brother bought a house he thought was $250k overpriced - just to keep his wife happy during Covid.
These factors and the state of Covid WFH are, IMO, not permanent though. Time will tell. If we're never headed back to the office maybe these prices are here to stay.