Your emergency funds should be at least 3-6 months of your income so that it can take care of whatever unforeseen circumstances that played out. Whenever, you tamper with your emergency funds to solve real emergency, it should be rifilled back when possible because it's the back bone of your bitcoin investment.
You didn't present that in the right way, by definition or recommendation the emergency funds is said to be up to 3 to 6 months worth or size of our living expenses and not 3 to 6 months of our income, if you look or check Very well you can see it means or interprete different meanings I mean what you wrote and what I wrote however, the importance of emergency funds towards our investment can be overly emphasis because those unexpected or unplanned expenses will always be there and we don't know when and how it will happen hence making it available and accessible will help us not to run to our investment in such situation.