Compressor stall: That is the exact same thing that happened in our company. The captain did a nice EFATO and return to land, all hand flown. When asked why he didn't use automatics, he stated that is what you always do in the sim, so it came naturally in the heat of the moment.
Our company has also found pilots are very unwilling to restart an engine that has run down, because it always catches fire or doesn't restart in the sim (depending on the instructors whim). An issue of negative training I suppose.