I don't know if there is, but if there is also a "foreign real estate investment sops up housing supply" and/or "makes prices slow down supply churn" then infla

I don't know if there is, but if there is also a "foreign real estate investment sops up housing supply" and/or "makes prices slow down supply churn" then inflation might making housing LESS affordable, by making it nominally cheaper for foreign investment participate in the market.