Not really the most important part of the In/Out debate but you're wrong.
Signing players, in some circumstances, is directly affected by politics, or more importantly labour laws.
Take Kevin De Bruyne for example, he's Belgian, Belgium are part of the EU, so when we signed him he was free to move unencumbered to the UK to work. Now, if De Bruyne had been South American, or for that matter Serbian, he wouldn';t have been free to move to the UK, he have needed to meet certain criteria (relating to international appearances and the quality of his national side) before he was granted a work permit to play for Manchester City. Now, for De Bruyne, this work permit route wouldn't have been an issue as both he and his country meet the criteria. Nolito however may not, were we to sign him. Spain certainly meet the quality criteria, but Nolito will not have played often enough for Spain over the last 2 years to qualify. So it's entirely possible that Nolito could be refused a work permit (in reality that won't happen as there will no doubt be an interim period at first however, after a period of time, that would be the scenario).
All of that is before we consider the impact on the academy. The Garcias, Brahim, Angelino, Ambrose etc would all be unable to join our academy. They'd be too young to be allowed to work here if we were outside of the EU, and they'd certainly fail to meet any criteria set for gaining a work permit at such a young age.
As I said, this is a miniscule issue in the grand scheme of things, but the fact you think being "in Europe" is the same as being "in the EU" is a little frightening given there will likely be thousands who hold a similar view and will be voting based on this completely flawed "understanding".