The track record for former GE leaders is that they have trouble replicating the cook-the-books-1990s-Jack-Welsh "results" anywhere else in another place and another time.
At BEST you will get moderately down results like Nardelli at Home Depot in the early 2000s housing bo-m (think about that...how could they not win then?) At worst, the stories are well known and publicized... bankruptcies, spin offs, shares crashing, and let's not forget planes falling out of the sky from cutting regulatory corners.
How will stronger GE-alum influence turn out in a company already in freefall with existential legal troubles?