I'm no mechanic, but looking at the video I would think that the weight of
the plane coming down on those prop blades, imparting such a bending force
on the prop hubs, would require a tear down.

Being radial engines, the situation is different. They may indeed not require
an overhaul, but rather only an inspection. Because the engines 'hit' at low
r.p.m., there may not be any damage. This has happened before on similar
nose-overs stoppage of T-6/SNJ aircraft engines. The engine shops call the
shots on the requirements usually.
VL