When this demo first came out, it didn't have the right reply header to enable pipelining in the browser. Now it does, but browsers have removed pipelining support. Pipelining is a part of HTTP/1.1.
If you download a firefox from before they removed pipelining you can enable it and you'll see that there's essentially no advantage to HTTP/2 for this demo.
This demo could measure connection establishment time and bandwidth, and simulate pipelines. But I think they don't actually want you to know that even a 6-connection 1-deep pipeline is just about as good as HTTP/2.
It also uses the same single JavaScript thread to proxy the requests as is used for rendering the devtools UI, which can't be great for performance.
Edit: /2 is faster when on first load. When I refresh, /1.1 is almost always faster.
http/2 is 10 times faster on first load, 2-3 times on subsequent.
https/2 is ~0.1s (1.02s /2 vs 1.11s /1.1) faster on first load and ~0.2s faster on future loads. I'm tempted to say there are diminishing returns as your internet gets faster (latency is ~11ms atm).
In the test I've ran right now, HTTP/1.1 took around 3x the time it took HTTP/2 to finish, even after refreshes.