To make more emphasis on your respective points and inputs here, i will suggest that if we are investing using an emergency fund, then that fund does not necessarily have to be in fiat, we can as well develop a means of creating a non custodial wallet and have our emergency funds kept on such, because the use of banks could be challenging to an extent that when they placed an embargo on an account, it may not be able to perform any transaction until they are done or settled with why they are doing so.
I believe that JJG have already addressed this issue of keeping your emergency funds in bitcoin. If you keep your emergency funds in bitcoin, for instance your three months salary is $1500 that you have used to set up your emergency funds. What if a real emergency occurs and bitcoin price has dipped with 30%, you will be at loss. This is one of the big disadvantages of keeping your emergency funds in bitcoin.
Secondly, since you said that your emergency funds should be in bitcoin kept in your noncustodial wallet. What if when you are hit with a real emergency and transaction fee is very high due to congestion in the blockchain. Fiat is the best form to keep your bitcoin investment, if you are complaining about your bank, you can keep the fiat in cash in your safe at home. It's good that when we are investing in bitcoin we save ourselves every possible means of running at loss during our accumulation journey
We can also consider that investing with an emergency fund may come in a quick demand in seizing for an opportunity to invest, just as we do have it form market shocks when it plummet after reacting on a particular cause and we feels its best appropriate that we fall back on our emergency fund in other to take advantage of the opportunity and invest, which i think its another way we can maximize our profit proficiency using another strategy (emergency fund) other than DCA we are used to.
You are a gambler because only gamblers think about profits without considering the risk in their actions.
When you use your back up funds to your bitcoin investment to buy bitcoin, your investment is prone to losses, because a real emergency can occur anytime. In fact, it's a dumb idea that will lead you into losing your bitcoin investment if care is not taken and not a smart move to dive into opportunity to increase your bitcoin investment.
DCA is the most effective and efficient way to accumulate bitcoin for a long-term and whoever uses this strategy wouldn't find it difficult to keep his bitcoin portfolio increasing gradually overtime
We also often make some mistakes, whereby we easily forget on what had been thought, or maybe we don't even remember to know what is expected of us to act at a particular time, it happens in some situations and this kind is what investors fall under to make the same mistake they would have avoided, because we can't be too confident in taking a step without first going after to recheck on whether it is still effective or relevant before taking it, we can't also invest by assumption, instead we have to be more conscious of what we acted when we are buying or selling as we may find it applicable on us.
From my discussion, I also mentioned how important the use of a particular strategy is, but we must be able to apply the conditions involved right with the nature of the market before investing upon any strategy of our choice, don't borrow because you want to DCA, don't divert on fund or sell on other assets hastily to invest and lastly, we shouldn't have our emergency fund on altcoins or any other assets that may not be productive as we may have with Bitcoin.