Yes, absolutely. As soon as majority ownership of a company changes from one nationality to another you're kidding yourself if you want to continue to see it as belonging to the country where it originated.

The shareholders control who runs the company, what it does, how it does it and ultimately where the profits are. It's just like outsourcing. But we don't like it when we look at Asian companies owning famous Western brands. But when McDonalds operates in China we're quick to call it an American company. That works both ways.