@gaigous yes that's the thing though, this hero and his role is definitely closer to the former. You don't haveto martyr yourself but you also can't be known to be retreating from so many situations if there is a risk.
Also Esdeath wasn't what you would call a hero. She was feared and respected but not in the manner of a hero but more just an ruthless and effective general. Usually, even if they're not the typical good guy, to be a hero requires aiming for a goal that many like and follow you for. Esdeath hardly had much in that manner, as you said she was a self-serving monster (still probably my favourite character in that manga)