Many guys have already suggested that if a guys is a low coiner or no coiner, then there is no reason to even have an emergency fund prior to having some BTC, yet I personally like the idea of building emergency funds and bitcoin stash size at a similar rate... until the emergency fund gets up to at least 3 months of expenses.
Building up your emergency fund is important because life is unpredictable and you might be in urgent situation anytime. Emergency fund is more vital for people who are living in third world, developing countries where social wealthfare is shit and nearly does not exist.
Having small or big emergency fund depends on your priority and your personal finance but ignoring this emergency fund building is very dangerous for everyone.
Generally speaking, when a person builds up an emergency fund to something like 3 months, there is no need to continue to add to it, unless the person is wanting to increase the emergency fund to a higher amount based on their own circumstances, such as if they have some known issues with uncertainties regarding income and/or expenses.
If your emergency fund is big enough to cover your urgent need when it comes, it's enough and no need to add more money to it, I agree with you. When you reach to this cap of your personal emergency fund, you can reserve most of your income for spendings for necessary bills, things and investment. When your finance reaches to this point, you will feel investment journey more comfortable and practicing DCA will become more easily and effortlessly.
There is need for emergency fund but having your discretionary Income and getting started is most important, it is important to get started ASAP that is if you have your discretionary ready because it is from your discretionary that you can use in buying bitcoin and then work on your emergency fund and buy bitcoin from your discretionary Income using the dca to buy bitcoin weekly or monthly and hodl for 4-10 longer before then you might have also thought on how to increase your discretionary Income so it enable you to buy and for 4-10 from your discretionary Income.