Honestly if you’re paying a mortgage at current rates, 6 months income is an excessive amount to hold out. Assuming that’s $100k, you’re paying somewhere around $5600/year by not paying down your mortgage more aggressively.

I have a lot of sympathy for someone who’s plan for savings was “if I get fired I can”: (1) use my severance money (2) sell my stock (3) get a loan against my home

Only blackout periods blocked (2) and falling home prices blocked (3).