From a biological/evolutionary standpoint, that's the correct approach.
I believe the science disagrees on this point. In the case of humans, adaptations that contributed most to our success as a species are a constellation of pro-social traits that enabled us to cooperate in organized fashion in relatively large numbers (which empathy plays a major role in mediating).
Evolutionary fitness is not always meaningful at the level of the individual, particularly in social animals. IIRC, there are a number of species in which individually-disadvantageous (i.e. purely altruistic) behaviors are conserved, despite their apparent adverse effects on individual fitness.