Well, Svjenk (you can have a letter other than 'n' as the typo, if you prefer) the DM use "are set to" in a similar manner to the way you deployed your 'if'. And then they use "30 million", presumably the entire population of one or both countries, combined.
It's factually correct that they all have the *right* to move where they please, around the EU but skirts around the fact that all but a certain age group would be too set in their ways, or too attached to their rellies to up sticks and come here.
So, that leaves the two questions the very existence of the DM poses: does its journos and editor *think* their readers are stupid and/or timid enough to be scared by a headline like that or are they -actually- as stupid and/timid as that?
I fully admit that the actual truth "residents of two countries now have rights to work wherever they please" is dreadfully dull and doesn't shift newspapers but whose fault is that?
Which is the tail and which is the dog?