Extending national sovereignty is a terrible idea...
The problem here is one of extending one nation's sovereignty over other nations involuntarily.
Remember that Google France is a distinct legal entity than Google USA, both of which are owned by Alphabet. What the EU court is deciding is whether or not Google France can be held legally liable for actions of Google USA, simply because both are owned by Alphabet.
That's a huge problem, because, as Free Speech advocates point out, it means that countries such as Russia can then enforce their laws on Google USA or Google France due to Google Russia being subject to Russian law. That is, Russia can simply threaten Google Russia's very existence if Google USA doesn't comply with Russian demands.
This isn't International Law here. This is attempting to extend one particular country's law over other country's, in a de facto sovereignty grab.
The EU court should VERY carefully consider this and reject the idea. Pretty sure that the EU doesn't want EU companies being held hostage to US law, even though they never sold a single product in the USA?