I could be mistaken, but I'm pretty sure all donations go to The Mozilla Foundation. I believe the foundation is the decision-making power for the corporation.
Either way, yes, Mozilla sold their soul to Google (specifically, giving preference to Google Search) in exchange for sustainability (read: survival). Rather difficult to compete in a market where Google and Apple collectively hold upwards of 85% market share for something they provide "free."
"Capable of drawing 28,000,000 watts of power" doesn't tell us anything. As was noted, it should've been given in megawatts (28 mW) or kilowatts (28,000 kW). Clickbait aside, how many kilowatt-hours (kWh) does it actually use?
28 mW isn't that much energy, relatively speaking. As of 2015, Forbes estimated LV uses 8000 mW on an average summer day.
The potential is impressive. I doubt it pulls anywhere near that. Unless I did my math wrong, this seems sensationalist.
Is there a way or an app to automate that?
Sadly, not to my knowledge. It's an app-by-app process. I could see an Ansible play or similar potentially fulfilling such a role, but I'm not aware of any existing projects.
Thank you, I stand corrected!