I really don't see the point of an e-sports manga. Regular sports are something that can only exist in that context for the most part, but most e-sports manga will just end up showing the game as battle shounen fights. And at that point they might as well just cut out the computers make it an actual battle shounen where they're fighting for real.
The characters are playing a shooter/fighting game/etc? Why not just have the characters actually go in and fight themselves, like World Trigger's B-rank wars, instead of having to cut away to guys intensely clicking a keyboard which would only reduce the tension and stakes? Making it real or through fake bodies like World Trigger also allows you to have proper serious arcs outside of the tournament too to add some variety.
It's the same with card battle series, sure you could have a card battle anime that's just people sitting at a table playing cards, but it's way more fun to watch the cards actually summon monsters to fight each other, and that way you can add more stakes to it as well. If you're going to make up a new sport for a manga, make up something exciting and active.