Forgive me; I don't have the perspective (or imperatives) of a flight-crew, but ISTR a few facts from my Chinook Maintainer's course in the '90s:
1. In the event of penetration by a projectile, the Cobra system will fill the fuel tanks with flame-retardent before the projectile can leave an exit wound.
2. The major transmision gearboxes have 3 independent oil systems. In the event of triple-failure, the gearboxes will run dry for an hour.
MoN mentions that, after windshield replacement, the damage to the subject aircraft was appears to be superficial. Given Vertol's/Boeing's attention to survivability on the rest of the airframe, is it reasonable to consider that it doesn't need wirecutters? Certainly, there might be a tendency for an LOH to get catapulted back 2-counties in the event of a wirestrike, but the mass of a Chinook, with a suitably-resilient cockpit frame, is perhaps a different matter?