And what would that difference be? According to the Italian consulate, submitting the proper documents would cause them to "recognize" my Italian citizenship, not "grant" citizenship. It's a jure sanguinis situation.
If it is not recognized right now, then submitting those documents by you would come at a cost to your current citizenship in one way or another, just like Obama's submissions to renew his Indonesian citizenship/passport would have been at the cost of his US citizenship, that is, if he ever actually had it.