How do you determine at what point the key switch is activated? Or is the travel time from start to fully depressed negligible compared to measured latency?
You wire an LED to a button (like a mouse left click) and with a 1000Hz camera you can count how many frames it takes for the screen to update after the LED lights up. Repeat many times to account for being in varied stages of the refresh cycle.
With that method I would just double check that 240-fps slo-mo video is synced to realtime. It may be applying an unnoticeable slow-motion effect (e.g. 90% speed playback) that would throw off the results
