Putin's media will go into a frenzy. You will have Petersburg trolls posting all over the Reddit "spiteful gay Europeans leave refugees to death, so much for European tolerance!"

On the other hand if you let them in, Putin's media will go out of its way to stage provocations or pay some of the refugees to wreak havoc. "Your governments are letting in rapists, so much for European tolerance!"

They'll love it either way. The only way around it is to sink Black Sea fleet and prevent the whole famine from happening.