I don't think it's an "anti-US-big-tech attitude" so much as an aversion to companies that have repeatedly been found to break the law (be it tax, competition, privacy or otherwise).
You don't (at least I don't) really see much hostility towards Apple, Netflix or Microsoft, despite them being large US tech companies.
The only examples I can come up with for companies Europeans might be hostile towards are companies that have given Europeans reason to be hostile: Facebook (tax, privacy), Google (tax, privacy, competition), Amazon (workers' rights) or Uber (workers' rights, flagrant disregard of the law).
If European companies behaved the same way, they'd face the same consequences (feel free to give counter-examples). I think the reason you hear about American companies so much more often is because:
- They're big, so violations are big and fines are big, making them big targets and big news
- They often break the law (perhaps because they're used to operating in America, which is relatively lawless when it comes to competition and privacy), making them easy targets
- You're reading English-speaking media, so you're less likely to hear about say a mid-sized German or French company being fined
I'm not sure whose fault that is: https://www.theguardian.com/technology/2017/dec/05/ireland-r...
This amounts to "our country is bad at [thing], so let's restrict trade for [thing] to protect our industries."
Of course it sounds great until other countries counter by restricting the thing you are good at, and then everyone loses.
Europe as a market has higher taxes, more regulation, and has more cultural barriers giving us a huge disadvantage when trying to compete in the global market with the big US (or increasingly Chinese) tech companies.
Unfortunately I think we may need protectionist policies like this if we want to develop our own tech companies and products. It's the same situation the US is in with manufacturing. The US simply can't compete with countries like China, so if the US is passionate about preserving its manufacturing sector the only answer is protectionism.