I am curious to know what would happen if you lose your job or have a medical emergency. In Canada our health care system does not pay for prescription meds, what if you need a new roof ?
Anyway, it is your call to live without an emergency fund.
I'm not sure if you are referring to me, but since I don't hold an EF I'll answer. I've got a financial fortress with defensive layers so deep that holding an EF would be sub-optimal for me. It would cost me money not provide me money in an emergency.
I started my MMM journey in 2014 and had the cash to setup an EF, but chose to invest the money. Say I put aside 6 months of expenses in my EF [~$25K] back in 2014 and say inflation was zero just to keep things simple so that $25K is still worth exactly $25K.

These ^^^ are my nominal portfolio returns for those years.

Here ^^^ is a comparison of the opportunity cost of investing that $25K or keeping it in cash in my EF. I projected the 2018 returns forward to get a full year. As you can see the cost of holding $25K in cash is huge. I'm not rich enough to turn my nose up at ~$19K. The other thing that should be obvious is that my invested $25K can now lose ~43% of its value in a market crash and I'd still have $25K left to spend. If the market doesn't crash and I need money I've now got most of 1 whole year's spending not just 6 month's worth. That will keep growing until it's 18 months then 2 years, etc...
There's more:
- I have a $30K LOC to shock absorb a big cost or bridge a period of low cash flow
- I've got $175K of home equity I can draw on if needed
- my income stream is diversified between 2 different contracts so I could lose either one and still enjoy a surplus of money
- my annual dividends are in the $15K-$17K range and cover a fair bit of my expenses
- my investments are nearing $1M and even if the lost 50% of their value would support me for a long time
- my annual spend is [relatively] low and can be reduced by 25% easily and further in a true emergency
- my GF earns enough to support both of us in a pinch and vice versa
- her stable gov't job provides health benefits that covers all our medical costs
- I have a set of highly marketable skills and decades of solid experience on my resume
- I have yet to be out of work 1 day in my life aside from being a kid or a student
- it would only take a part-time job to cover all my spending
- I exercise regularly, eat a balanced diet low in processed foods and I've got healthy genetics
An EF is like a shield. It's got limited protective powers and it's expensive. OTOH it's simple to setup and for someone just starting out it might be appropriate. However, once you are well into your financial journey you don't need an EF any longer when you have built so many defensive positions in depth that an EF would just be expensive without any incremental benefit. Although I'm closing in on my FIRE goal I am still not rich enough to have money sitting idly and not working for me.
If I did have an EF my priority would be to start working on a solid financial plan so that I could get that money into my investments and stop paying the significant cost to hold it.