If she flies her plane on the Moon (
chortle), or some other place without any tracking infrastructure, her plane's location won't be available to anyone, either.
Unfortunately for her, she wants to have her plane flown in areas with infrastructure, and congested airspace, where its location and identification needs to be known to everyone for safety reasons.
Likewise, she's free to buy a superyacht, and sail it out in the middle of nowhere with her transpounders off, but she can't be pissed if someone starts tracking every time that that yacht causes tens of thousands of cars to stop because the folding bridge on SR-520 has to be raised[1] to let it through...
[1] Thankfully, since the bridge was rebuilt with more clearance, this is no longer an issue. But in the years prior, I had absolutely zero sympathy for any of the rich pricks that would stop the movement of tens of thousands of people because they wanted to sail their yacht around the lake. If someone kept a website with a high score of who was the most disruptive Seattle millionaire when it came to that, I'd have been delighted.