Its got nothing to do with reaction time, its about making extremely complex intelligent decisions, in Dota/LoL that could be running away to buy something, engaging, supporting someone else who just turned up, chasing, staying put. In GT it has to avoid the other cars, its not following a live changing economy as the game/race goes on.
There's only so much that could happen in a race since its a linear journey round a set track where the speed of opponents will be within a predictable range, I'm not saying there aren't other factors to consider in GT outside of the immediate logistics of the cars around you, but I think its fair to say its nowhere near as complex as a free moving open map where any player can be anywhere and decide to retreat or advance for many different reasons.
I'd say the decisions that could be made by an AI in a high-level game of DotA/LoL would change at such a pace that the AI could often never make a decision that wasn't too out of date to be useful, just because it can't reasonably predict what the opponents will be doing that far in the future. Compared to a racing game where you can predict what the opponent will do further into the future because there are so many less avenues of decision the opponent can go down.