The only thing, I think, that might change this, would be if the UK against all odds manages to make Brexit successful. I personally don't think there's any chance of that, but if that were to happen, anti-EU sentiments elsewhere in Europe might grow. I think the reverse is more likely: That Brexit will serve to firm up EU support even more once the full effects become clear... I live in the UK, so I hope I'm wrong and that things will work out ok...