it is most likely a contributor. Sky pursued a pub owner through the courts nearly a decade ago because she got a Sky satellite subscription in Greece (much cheaper than the UK) and then brought the device and the CAM (the Sky card) back to the UK to show to her patrons. She argued that the EU has free flow of goods and services (which it does), but it doesn't (yet) have unified licensing. She wound up winning her case. Cases like this have forced the EC to have a look at the issue with more vigour.
If the UK decides to stay in the EEA (European Economic Area) then the chances are very high that these rules will still apply to the UK; i.e. get a Sky subscription from Greece or Cyprus and watch it in the UK. It would also force Sky to pay much much more for Europe wide exclusive movie deals.