I see where you are coming from, but I think it depends on the individual situation. Starting investment early is definitely smart because time in the market matters a lot, but at the same time, not having any emergency fund at all is sha risky.. Life is unpredictable, and if something urgent happens, you might be forced to sell your investment at the wrong time just to cover expenses.. That could easily wipe out the progress you have made.
I believe both can go hand in hand, even if it is small. You don’t need a huge emergency fund before you start investing, but at least having a little cushion can give peace of mind and protect your Bitcoin from being touched when life bring surprises. The rope and cow example makes sense, but if the cow runs away before you get the rope, you are left with nothing. Balance is always the key..
You just made a very good point here actually, and I find it a dangerous risk not to have an emergency funds in place no matter how small it is, what investors are adviced to do is to build your emergency funds along side your Bitcoin investment, then when you have get to that point where your emergency funds is large enough to carry all your expenses for three months, that's when you can take a break from it, and channel that money back to accumulating Bitcoin aggressively, I mean the money you normal add to your emergency funds weekly or monthly, with that, your Bitcoin investment will be secured even from the very beginning.