If you were actually important to the organization it would be a terrible mismanagement of the company. A well-run big org is designed such that workers are replaceable cogs in generalized salary bands, that's what makes the machine durable.
It's very easy to think you're "productive" and "busy" when your days are filled with meetings and trying to placate various groups of stakeholders. But if you look at your actual work output after a year in big tech, it's fundamentally low impact, and it's that way by design.
I'd like to keep tugging on this thread, I find it interesting.
In my experience, everyone up my chain of command was motivated to derive as much impact from their reports as they possibly could. If anything, it felt as if the system was designed to reward impact above all else - promotions were given to engineers who could demonstrate their work on _____ increased _____ by x% driving revenue by y%.
Nowhere in the system seemed designed to reward low impact, it really felt the opposite.
When you were at a big tech co, your experience was different?