As a long time gamer, I can anecdotally corroborate your theory with my early experiences playing FPS games using a dial-up connection. Average ping was about 200ms which allowed for an enjoyable and accurate experience after some adjustment. >250ms was unpleasant and had a significant impact to ability.
It was for this reason that I, and many others, for a short period, got objectively "worse" at the game when we switched to ISDN/Cable and suddenly found ourselves with 20-30ms pings; Our brains were still including the compensating latency when firing.
It was for this reason that I, and many others, for a short period, got objectively "worse" at the game when we switched to ISDN/Cable and suddenly found ourselves with 20-30ms pings; Our brains were still including the compensating latency when firing.