Official comment
The song has two buffers; one, the "rapid buffer" is for being able to handle subsequent beat jumps and other functions like hot cues, scratching, etc. The other is the "long buffer" which stores the entire track in the event your link or USB drive fails, it can play out.
I was able to watch the video, and I can confirm exactly what's happening - you're outrunning the rapid buffer, if you tap slightly slower, you'll see it's able to catch up and then load the audio around and forward of that position to be able to handle any other actions.