Holy shit, buddy. Yes. We flip a signal 180 degrees out of phase and that added pressure pushes the outside wave down. There is at no point a reduction of pressure in your ear, it’s just more pressure that makes it so you can’t hear the sound you are trying to remove. The perception of sound and air pressure are not the same thing.
I knew a kid in high school who’s family had spent some time living in a van. I guess the kid had an ongoing joke that they ended up in the van because his dad refused to learn java. Kinda funny, kinda sad. Couldn’t help but think of that when I saw this.