They might not need to fall. With inflation being what it is, mere flatness in nominal terms could help.

Also, crafty government policy can make housing more affordable for some buyers while letting prices seem to rise. I’m not crafty enough to know how this would work, but it works in other markets. For instance, apartments that have high and increasing rent but with months of “free rent” and “discounts” thrown in that reflect a different reality, or new cars with “cash back,” or tuition at expensive selective private universities that is almost completely fanciful.