> That's a pretty incomplete view of how jurisdiction works. You do probably need a US court ruling to enforce a claim against a US entity – but if that entity has any EU subsidiaries or assets, you can bet that European courts will come after those.
I am not sure you read my post in details - I explicitly mentioned that I am talking about local services, without any international footprint. And mentioned that in case of this footprint - yes, they will be sought after.
This is also exactly waht the US does to enforce their "extraterritoriality"