While I can see you try to be nuanced you're only achieving depicting the situation in a moralistic view.
You're postulating many things that are not necessarily true (by definition) : - that massive immigration to the EU will succeed - that EU needs more unskilled labor
So "serious" politicians shouldn't promise one thing or its opposite but have a global view of the best interests of THEIR electors and act accordingly.
I will hence have to take the antithesis to balance it overall : - with automation and the current unemployed people ("natives" or not) already in the EU, more unskilled labor is not what is needed - a cohesive society is not solely based on its productive capacity