Hold at Saffa:
Not too much time on my hands, really....just the odd day off.
Whilst you are right in saying that Crossair (as in its former legal and practical embodiment) was not responsible for the debts racked up by its parent SAir Group, the situation surrounding "New Crossair" is far less clear. To most observers (including the more serious Swiss media) it is blatantly clear that this new outfit has been created as a possibly practical and expedient way to continue what are essentially SR-operations and at the same time try to keep SAir creditors from getting back their money.
No doubt there will be numerous legal challenges to "New Crossair-cum-Swissair" and we'll all have sufficient opportunities to see whether the courts share your view!