If that company is entirely separate (but happens to have the same investors) and no more money flows between them than the cost of IP, then that may just work. You'll have to be careful not to let shares fall into the wrong hands, though because the two companies might eventually grow apart as a result of having different shareholders with different opinions.

Such a move might also be frowned upon by the American government, because you're essentially cutting them off from part of your company. I think this concept would work from an EU standpoint, but it wouldn't surprise me if the US government would prevent you from doing that, or even hold you personally accountable.

You'd also need to get a pretty good analysis of tax laws because suddenly the top owner of the company isn't foreign to the EU anymore, and that could be a problem for the tax evasion schemes big tech is such a fond of.

All in all, I doubt it's worth the hassle. As a customer of Google Analytics you'd need to have some logic to load either the European or the global analytics script, and the data cannot be combined into one overview without stripping a lot of important context (or breaking the law in the same way).