There is zero chance that Alitalia would agree to issue or sell shares direct to a FR controlled company and MOL knows it. Aer Lingus have already had plenty of trouble from FR as a shareholder.
I doubt even AF-KL would have wanted to sell their rights to FR
As Cyrano says, it's a pure publicity scheme in the same way as all the earlier talk about charging to use the toilet or having to stand for the duration of a flight for a cheaper fare.
If MOL really wants FR to present a more mature image, then it's sometimes best to know when to keep quiet.