I recall someone who build some automated system to measure input latency on gamepads, who gathered data for a bunch over different interfaces, which is a subset of that. They had some sort of automated testing system, moved the controls automatically with a microcontroller-driven system.
looks
Neither of them are what I'm remembering, but it looks like multiple people have built input latency databases.
https://rpubs.com/misteraddons/inputlatency
The second looks close to what you might want. Each controller has a page with a fair amount of information.
EDIT: I don't think that this is what I was thinking of either, but looks like another microcontroller-based system to measure input latency:
https://github.com/maziac/lagmeter
EDIT2: Also not what I was thinking of, but yet another input latency measurement project:
https://epub.uni-regensburg.de/36811/1/ExtendedAbstractLatencyCHI2018.pdf
EDIT3: Also not what I was thinking of, but another: