I don't want to dwell in hypothesis because there is no direct correlation between Bitcoin and the housing market of the US. Housing may affect the US policy to a great extent but that is not enough to say that it can catalyze the Bitcoin market directly. If there is anything that should affect Bitcoin, it should be things that has direct relationship with Bitcoin such as cost of energy and laws governing its regulations since Bitcoin mining is energy dependent.
Tbh, Bitcoin doesn’t need a direct causal link to housing for housing data to matter indirectly.
The connection is housing to interest rates/FED policy to liquidity and risk appetite, then to BTC, not housing to BTC directly.
I understand that energy costs and regulation are Bitcoin-specific factors, but Bitcoin has also become a financial asset, so broader macro conditions also matter, with the 2022 tightening cycle being a good example, where the FED raised rates and tightened its balance sheet; financial conditions became significantly tighter, and risk assets, including Bitcoin, were put under pressure.
For sure, I wouldn’t say that weak housing data means Bitcoin will rally. I'd say it is a macroeconomic signal that could matter if it supports expectations of easier monetary policy.
The strength of that signal depends on what the FED does next.