You alluded to this yourself, the olympics isn’t entirely made up of traditional sports. In keeping with modern times why wouldn’t e-sports be allowed to become a category for competition there?
The training, skill and mental fortitude required to compete at the top level of online gaming is easily comparable to plenty of other competitive sporting and Olympic events. With recent advancements in VR, you will find very quickly games become just as physically demanding as shooting, archery and much more.
The speed and hand to eye co-ordination alone isn’t even remotely similar to anything else.
In reality what online gaming has spawned is an entirely new genre of competition in being an ‘e-sport’, designed to be side by side with ‘sport’ and not above or beneath it.