If it would be that easy.
LH has about 200-300 pilots in overhang, so it would be sensless to hire pilots, and to join LH you have to speak german, thats an requirement, for ALL LH pilots.
So you see, its not that easy.
We will see what will happen, if they are able to hire pilots for LHITA, very good.
If not, some (italian) pilots might learn it the bitter way.
It would not be the first time, that selected pilots could not be hired due to LH union regulations.
BTW: you are right, most italian companies pay better than LH.