Strange you say that as one of the reasons that Murdoch was such an advocate for Brexit was because he had little influence in the EU but had massive influence in the UK where he can decide elections and is best friends with most of the last prime ministerial candidates (Blair, Cameron, Gove, Johnson, probably a few others).
Of course there is that issue with the EU though and it is a serious problem - it's one of the things I meant when I talked about neo-liberalism. But they'd still need to get all 28 (now 27) countries to agree to any changes, which is why TTIP isn't very likely to get passed at all. Whereas here it is almost guaranteed that some form of TTIP will get passed as there's such strong support by the Tories. And they are undertaking the most breathtaking de-regulation of industries - from Education to Health to food production and farm to heavy industry, skills levels, environmental and H&S standards will all be going down.
Visibility is an issue, but almost everything is reported on in the EU - it's one of it's negatives, massive bureaucracy, but it does mean that most money can be tracked and audits are carried out. Whereas besides the Freedom of Information tool (which the Tories want to do away with) we have little of those powers with our own government.