Just had a look at specs for a Nikon D5300. The flash sync speed (the speed at which the entire sensor is exposed at the same time, so you can use a flash) is 1/200th of a second.
At higher shutter speeds the entire sensor will never be exposed at the same time.
FWIW, the D5300 is a fairly low-end camera, most DSLRs have 1/250s x-sync. But with digital, the mechanical shutter can be combined (or altogether replaced) with an electronic shutter. The D70/D70s and D40 do this to allow 1/500s x-sync officially, but if you defeat the flash “smarts” (by covering the data contacts) and use it as a dumb hot shoe, you can use flash x-sync all the way to 1/8000s!
Measuring when the hot-foot for the flash fires would be a good way to determine the camera's latency to the external trigger, without needing to resort to taking photos of LED arrays.
You mean hot-shoe?
(That did make me chuckle, though!
)
But regardless, using the x-sync contact to identify the shutter lag is a brilliant idea!!!! The only potential “gotcha” is the trigger voltage, which can be quite high, in theory. On newer cameras, they expect to be used with a matching smart flash unit, and those tend to use 5V or less. Nonetheless, I’d try and measure it somehow.