The amount of value that we put into bitcoin should be money that we are not going to need for 4-10 years or longer, and sure it is possible that we might need the money that we put into our back up funds at various periods of time, yet we should also be wanting to build an emergency fund that has a minimum of 43 months of our expenses and in which we would likely not be tapping into such emergency funds absent an actual emergency related to loss of income and/or increase in expenses that were beyond our expectations.
Did you mean 3 months of our expenses? I believe this is a typo. Maybe you'll want to correct it so it doesn't send the wrong message across.
This is a good plan, the recent emergency I had was handled effortlessly by my emergency fund and funds I kept aside for refilling my gas cylinders when it's finished. I was glad I handled it effectively and didn't touch my portfolio. It was then that I had a deep appreciation of these teachings. The only responsibility on me now is to build back the funds I depleted.