What a ludicrous question, does it really matter!!!? Every poll shows that immigration is the number one worry of the UK referendum voter. Of course it matters. There are hundreds of thousands of illegal migrants in Europe with millions more trying to get there. It gives people no comfort that Germany aren't giving them some paperwork, yet. People like me want to stop them coming here, and we see getting out of the EU as very beneficial to that goal.
But it's completely ridiculous - think about it, your logic makes no sense.
We only have free movement for EU citizens. These people are not EU citizens and therefore do not have free entry into the UK. It's really that simple. They can't come here legally - only illegally. And people who may enter illegally will do so irrespective of our EU status because guess what, they enter by breaking the law.
The paperwork is absolutely key - it should give people every comfort they are not getting it - because it's only with that paperwork that they can take advantage of what the EU permits into the UK. It's paperwork even the successful ones can't even get for years anyway!
Yet despite this it's becoming a central point in the Brexit debate. It's just nonsense.
TLDR - those that would come here would do so regardless of our EU status. Most will not unless we specifically agree to take them.