This emergency fund is exaggerated at times, it is not the money to pay your usual bills but for unforeseen situations, "which may never happen," so why not try to multiply it with Bitcoin in bull season? Needless to say, your funds in Bitcoin are accessible at any time if at all you have a reason to withdraw it or some of it. Why not take the risk instead of keeping it in the bank and letting the bank make money on you while you earn nothing? This can only be dangerous if you don't have access to your BTC. And who knows, you may never have a need for the emergency fund for years, which makes it wise.
No investment journey is smooth and for that reason, you should expect the unexpected, because some unforeseen circumstances must definitely play out during your investment journey since you arw investing in a long-term investment. Examples of unforeseen emergencies that can occur during your bitcoin investment is sickness or accident, the lost of your job, a heavy storm blow of your roof and some others. If such emergency happens and you have not set up your emergency funds as you are investing in bitcoin, your bitcoin investment will become your emergency funds and you will sell your bitcoin to take care of such emergency. If bitcoin price is dip below your entry point you will sell at loss.