One of the major concerns of EU skeptics has always been the ability (and the gall) to push ambitious acts of centralized control by like-minded European leaders. And more likely that big players like Google/FB will just buy off protections from mega-regulators than actually be "reigned in" as it always happens
That doesn't match up with history. Two of the more notable fines by the EU have been on Microsoft and Google. The UK recently fined Facebook the maximum that agency could - 500k [1]. The politicians are on record speaking out against data abusers in ways that sound like they are users. Nearly all of what the EU does centralised is still policed locally. There's barely any of the control that skeptics say there is, even if you include the control the countries willingly handed over.
