Focus should be channelled to building up more emergency funds than increasing the DCA allocation for the sole purpose of cushioning your bitcoin stash against emergency situations that can lead to premature sales.
There's a level that you need to build your emergency funds up to and when you have achieved that level which is at least three months of your monthly income, you can build up a reserve funds by channeling that money that you are using to build your emergency funds into your reserve funds.
Increasing an growing your bitcoin investment for 4-10 years and above should be your priority and not putting your priority on build a large emergency funds, because holding too much of fiat is not ideal since it losses value overtime. This is why you must keep your DCA ongoing every week, consistently and persistently in order to be able to accumulate a good size of bitcoin for your future.
Emergency may/may not happen but it's good that we prepare for it. Bitcoin price increases overtime and if you keep accumulating in a whimpy way, when you can increase the amount that you are using to DCA from your discretionary income and it wouldn't stress your finance, you will regret it in future when bitcoin will be very expensive and you will have little bitcoin in your portfolio. This is why it's good to buy aggressively and frontload your bitcoin investment if you can because the price that you buy today, you might not have the opportunity to buy it again at that price by tomorrow.
The best thing to do is, if you have used part of your emergency funds for a real life emergency, you should refill it back.