No, countries have the right to regulate businesses that operate in their jurisdiction. It's up to the companies to square that with their business model, or choose to do business elsewhere. I'm pretty free market, but this is common sense stuff: it has to work that way, or we've got the much bigger problem of either a techno dystopia with corporate nation-states, or else corporations becoming extensions of a government, waging war by other means on foreign shores.
I don't like the "battle against big tech" framing, but I think that's just what the publisher went with to make it sound dramatic.
I 100% agree that the EU has the right to do this. It may even be in their best interest to do so (idk, I'm not European).
My point is more that it's not "justice" in the criminal-justice sense (eg: consequences for murder/robbery). It's economic policy, largely orthogonal to "justice".
It might not be "justice" to you in the narrow definition you are creating, but fair economic and user privacy rules are justice to me and likely to most. I don't find it orthogonal to justice at all.
I don't like the "battle against big tech" framing, but I think that's just what the publisher went with to make it sound dramatic.