seems, based on what you're saying, that ENTPs would be the best gamers. Ne to see the different strategies, and Ti to decide which ones are viable. Ti would have to urge us in the direction that is best. because not every solution is a good one. A well-developed ENTP seems like the best problem solver in this regard.
Dominant Ti would jump to a quick judgement on what to do, and Ne would have to urge Ti to explore other alternatives While Si, the yes-man, would tell you to ignore Ne, what your doing is comfortable, good.
Dominant Ne may be impractical at times, and Ti would have to urge us analyze the idea more carefully to see it is impractical.
based on this, we can look at, say a Pokemon game. and how each type would approach it.
INTP chooses his six Pokemon that he likes based on what he has analyzed. Ti is not always right and Ne steps in to say, explore alternatives for your team. Si says, you are comfortable with these six, it will be fine... even if it won't.
ENTP jumps straight to the exploring alternatives. Ti steps in to say, these ideas won't work against this opponent, but these will. by any means necessary. (perhaps even cheating??? which Fe tempts us with: if you don't get caught, it's not wrong

I confess I've used chess master on the most difficult setting against an online opponent or two. just for fun. And this is before I saw the Dan Brown video where he defeats half of the chess grandmasters.
regardless, seems either type would be great at video games if their functions have developed to a satisfactory level. What difference does it truly make as long as you are mature enough in your auxiliary function to explore alternative or recognize that your ideas are invalid, try another one.
I read the article, and he flip flops. He claims intuitive types are the best. but INTP is not an intuitive type. the primary function is judging.
I agree with him. Intuitive types would be best. Especially for "Thinking outside the box" solutions.
Whether an ENTP or an ENFP is the better I think depends on the game.
shooting games and so forth, as others have said, would be better played by other types.