This reminds me of the old XKCD about inventing new standards... fine, you get an EU Inc corporate model. What's the labor law applied for employees? what is the tax regime, and which countries will take in taxes? what about oh, I don't know liability, insurance, debt and bankruptcy, etc, etc.?
A company is a legal person within a jurisdiction --of which all of the laws apply to every person. You can't have an EU Inc without a federal EU. Heck even the US doesnt have a US Inc. This is naive at best.