Yes - that's a great point. Although from the article, it seems that most of the latency isn't down to the display, but to the CPU/GPU part of the chain?
Yes, about 2/3 of it comes from the software/hardware stack in your computer/console.
The remainder (a few frames' worth of latency) is from the display itself. There's something like a frame buffer inside the display if I understand correctly although implementations vary widely; some displays are good for gaming and some aren't.
If you have a chance to game with original 8/16-bit hardware with wired controllers on a real CRT it's such a treat. You can really feel the difference.