>200 ms is much better than 99.99% of humans though
I think this is bit of a red herring: while that's true, OpenAI isn't competing against 99.99% of humans -- they're competing against the top 0.05% of Dota players that very likely have a much, much lower average reaction rate.
To throw numbers at it, https://www.humanbenchmark.com/tests/reactiontime/ has the top 10 people at ~110ms[1], while I (at a measly 1K MMR in Dota) can pretty easily average ~220ms (and they report human average around. I imagine pros in the scene have honed these reflexes to be far superior than the average human.
[1] Also worth noting that they discard all reactions <100ms, so we could have some <100ms prodigies that actually have faster reaction time than the 100ms reported on the scoreboard for them. (These numbers are spread over 5+ trials, so "getting lucky" is a lot less likely.)