Keeping a plane on the ground seems easy enough. Keeping in the air in one place would be impossible. Keeping any place in the air is only temporary.
And which human will fly in an llm operated plane?!
Please welcome aboard of Airthropic Lines!
I am sure some Ryanair customers would risk it for good price.
Give the whole scheme some sort of mile multiplier and you will get high-freq fliers salivating over taking a llm flight with a 12 hour layover in Iceland to get to Portland from New York for those sweet miles.