As a former competitive esports player myself, I really don't think its an olympic sport.
This is mainly due to the broad spectrum of games you could play, how do you decide which to play? Also, once you allow one, many have to be included so then the olympics would be like 50% sports, 50% gaming and that would be awful.
Also bare in mind the olympics has gone on for hundreds if not thousands of years before gaming was invented, it just ruins the tradition.