No, I think he's referring to the technique of wall clipping you can use toward the end of 1-2 before you take the pipe back out to the flag.
Back in the 80s/90s kids would show how you could clip through the wall to the warp zone for two purposes:
1. as an alternative to jumping from the platform to the top of the screen.
2. More importantly, to get to level -1. You can do this because clipping through the wall Mario can arrive at the first warp zone pipe before the game registers that pipe as one of the labeled warp zone pipes. If you instead walk to the warp zone from the top of the screen Mario has to go all the way to the left before dropping down. And that would trigger the normal warp zones everyone is familiar with.
What the speed runners are doing is understanding the mechanics of wall clipping on a much deeper level. Rather than doing it to make Mario "moonwalk" or reach a special warp zone, they do it to push Mario forward on the screen. This allows them to do stuff like "wrong warp" and shave some frames off of their time to beat the game faster.