Unless you and the people in your "company" can pay for your food, rent, and bills directly with Bitcoin or Ethereum, I don't see how this works. You have to convert it to fiat somewhere, and that's probably going to be through a bank. Then you're in for a lot of trouble if you get investigated, audited, or whatever.

That is perilously naive.

So who would be liable in the case of somebody suing you? If the company has no legal existence, then would the individuals involved be liable, and without the protections of limited liability?

So your team members all work remotely in different countries?