I would have to say that is incorrect.
I would say it comes down to habits and process, not processing. There are those who think about how to handle the situation, then there are those who think ahead of the situation as they move forward.
Hand-eye coordination and hand dexterity are definitely required, but I'd say the majority of individuals who have been playing games for a long stretch of their life have good enough of both to perform at higher levels.
Past that is knowledge, which you cannot have a natural talent for in games like these. Whether or not information you've witnessed about the game are kept in mind during high-tension situations while playing, again, comes down to habits and process, not processing speed.
Neuro-pathing has no physically possible way to create a difference large enough that it would impact gameplay. Awareness is something self-taught, not something you are born with.
For example, if you go to the wiki and watch Annie's ult animation, you can easily get to the point where you can avoid Annie's ult without fail with Zhonya's, Vlad pool, or whatever other tool. However, most people don't choose to look specifically at Annie's model while fighting her. When you reliably dodge it, people end up accusing you of being a smurf or something because they think its instant.
I do agree top levels require talent, but a lot of that is self-taught. Nobody is intrinsically good at everything in the game. This game has a lot more depth to it that you can uncover than many people expect.