I've been on business calls where I've literally been offered a job in front of my boss. This happened to be because I had debugged a vendors' appliance and had the opportunity to say to their CTO something like: "You're product is such a piece of crap because it always crashes randomly, I narrowed it down to X and I had to break into the device and recompile the kernel with these flags to make it stop", turns out many other customers had 'random' crashes as well and they can been trying to pin it down for a few months.

Fundamentally you have a seat at the table, and you're the only person in the room who can actually solve the problem. Since you're an engineer and your brain has already weeded out all the things that won't work because of technical reasons you can quickly zero in on and propose a solution, also you're the 'expert' so you have the opportunity to not say anything and actually hear what everyone else is saying.

To paraphrase the video if you can say something like "I propose we put together a triangle with two red lines and a blue line" and then draw that on the board, you're a hero.