There's the more-involved aspect to physical vs nonphysical games which you acknowledge, but that's the point. You say the only real thing holding you back is time, proper training. What is the only real thing holding you back? I will grant you that my argument didn't have the best analogy or evidence, I will grant you that instincts can be trained as well, but it seems to be that the only thing isn't time. I'll recall that quote, "Hard work beats talent when talent isn't working hard" I'm not so much as suggesting that time isn't involved, I'm not inferring that any top player waltzed into being a top player, that they didn't work hard. But from what we can guess, it makes sense that there's more to everything we know than "the physical body is different than the mental and everyone is capable of the same skill mentally" I don't buy that for a second, I'd believe it if we actually found that out, make no mistake, but from even our current understanding of people, there are people that learn faster and have certain ingrained habits or lessons that are better, on par or worse than others which will affect them when it comes to their approach on everything. As a main point I'll just say this- for physical things we have superhumans, gunslingers that actually make the hollywood instant draw revolver shot a reality, people that are incredibly strong or incredibly fast whether it's speed or reflexes or both, if that's true, why wouldn't those differences also exist for people mentally? Don't tell me that intelligence is so simple but we know enough about it to say everyone is capable of being equally witty and wise given enough time. That's simply untrue.
In regards to reaction we could specify and split hairs even further. However, I'm not quite sure what you mean by this. Ok, reaction is a response to something. If you meant to devalue it, you can do that with anything. For instance- being good at anything is simply how much time you spent and that's it.
There's a dilemma between you and I fundamentally it seems. I've always seen the value in mind games and player's instincts, their knowledge, but I've always had high praise for execution as a player who has a history of not being mechanically sound. It seems like it takes way too long for my hands to remember things which is why when I see good play and fast mechanics I'm really impressed. I have high praise for good players, but I value their mechanics a lot. Some players are more knowledge or mental based, some have more talent in the physical aspect. Just because you or other people think something is easy doesn't mean it's easy. When you have it, it can seem easy, just like moving your hand. When you don't, or you're hindered by something, then it's hard.