All political systems have delegation.
OK, I don't know that. Is that the case in EU countries? If so, which ones?
Anyway I didn't say that ministers are elected as ministers, but to my knowledge for someone to be appointed a minister they must be elected into parliament. Again, if that's not the case please explain.
That might be the case in certain countries, for example, https://en.wikipedia.org/wiki/Cabinet_of_the_United_Kingdom says: "In the United Kingdom's parliamentary system, the executive is not separate from the legislature, since Cabinet members are drawn from Parliament."
It's not the case in other countries. Recent examples from Italy: https://en.wikipedia.org/wiki/Monti_Cabinet and Austria: https://en.wikipedia.org/wiki/Bierlein_government. Admittedly these are interim governments formed entirely from non-politicians, so a special case. But there are also examples of individual non-party people being ministers in "normal" governments. Again Austria: https://en.wikipedia.org/wiki/Kern_government (the "Independent"s were never MPs). Of course this is rare, since usually there is an expectation of party members to get the posts.
In any case, it looks like the Austrian ministers are figurheads without real political power, or so I gather from the relevant artice on wikipedia:
Austrian presidents gladly accept that their role is that of figureheads.
https://en.wikipedia.org/wiki/Government_of_Austria
But I may not be reading all this carefully enough. Still, this seems to be something ... peculiar to Austria?
Edit: I don't agree that there is as much indirection as you say, either. You brought up two examples of interim governments where ministers were not elected. You haven't given any examples where this happens in er, ordinary? governments and I don't believe there are any in the EU. But I'm happy to be corrected if I'm wrong.