Investing your emergency funds looks a bit new to me, ordinarily i was thinking it was cash reserve you can fall back on hence there is real emergency, but investing in gold that is still prone to heavy market instability shouldn't be seen as emergency funds, in my own view, if it gets to the point you would have to put your emergency funds in gold reserve as an investment, why not just empty everything into your bitcoin investment at once since it's already looking like the emergency funds can be invested.
Why are you calling it emergency funds when you know you still going to invest in money in other things? Either gold or other investment, don’t invest your emergency funds in them, because if their is an emergency case, you are going to regret why you decided to invest the money which is suppose to be used in taking care of any emergency when the need arises. If you decide to invest your emergency funds in bitcoin or other coins, when you need the money, then you might be selling at lose because you won’t really have choice at that moment than to sell even if you are in big loss. My emergency funds are always in my local currency, and it’s always in my bank account.