I’m showing a 13,000 ft ceiling on the MH-60S. No idea if that’s what their NATOPS manual shows or not.
The book service ceiling pretty goes out the window for a helicopter conducting SAR. For instance, a Black Hawk service ceiling is 20,000 ft. but no way you’re hovering there to hoist someone up. That’s why you have a hover OGE and hover IGE ceiling. That’ll be much lower than the book service ceiling because in the book service ceiling is using forward flight. Above Effective Translational Lift (around 20 kts) the helicopter uses far less power (to a certain point), therefore you can sustain flight at a much higher altitude.
Similar to this vid, the engines on this HH-60 reached their limit. Slightly different in that it was an engine speed limit vs the Navy MH-60 would be a temp limit…if indeed that was the cause. Once you reach that limit, the rotor droops, the aircraft settles and if you haven’t given yourself a “bailout” direction, you’re screwed.