The math is inarguable - you're 100% right. I don't doubt that we'll see a slowdown in price increases as rates increase,
but in many markets (almost all of CA) there is such a shortage for housing that increased rates may simply lower demand from insane to rational, where prices increase slowly or remain stable for a couple of years.
I was all in on the last crash, largely because the economics just didn't make sense and there was massive fraud going on (bartenders owning 4 homes, NINJA loans, etc.) I think increased rates will certainly price some folks on the margins out for awhile, I'm with
@St. Louis Bob - I just don't see 5.5% causing a mass exodus or a housing led recession. I could certainly be wrong.