All of this seems rather dubious from a democratic point of view. "Hey, you didn't specifically campaign on this issue, therefore this potential cabinet minister can't join the government."
Of course this also feeds into the whole populist narrative that the mainstream supports democracy as long as you vote for the right people. And then - to add insult to injury - Mattarella names a former IMF employee as PM?
Plot twist: Mattarella is a deep cover mole working for the populists to make the establishment look bad.
This sounds roughly equivalent to an alternate timeline in which a bunch of quietly anti-Trump Republican electors vote for Clinton in December. In which case it would be a major own goal. Republicans would likely win 2/3rds majorities in congress in 2018 and govern more radically than Trump has. I expect similar things to happen in Italy.