On a turbine engine, you would expect most failures to occur at higher power settings. As stated, there is a very large percentage power increase in the last few percentage points of RPM.

A piston engine is different though. The typical mechanical failure (other than those due to loss of oil) occurs when REDUCING power after a high power run. The crankshaft, rods, and other parts "unwind", which encourages any weak components to fail. This why it's a good idea not reduce power in an piston ASEL until you have enough altitude to glide to a good landing site.