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It's Promoted Fanboy.
Fun fact: The first trope I ever saw was Baby See, Baby Do
Strictly speaking, it's none of those. Because we don't trope real people, even if they act like a slightly pathetic SMC villain.
TV Tropes's No. 1 bread themed lesbian. she/her, fae/faer
^ That, see Real Life Troping
I mean, though, "fanboy bought the company/product" is absolutely a situation that could come up in fiction too.
The first thing coming to mind is Screw the Rules, I Have Money!, but that does fit Musk more than a potentially more benevolent fictional example.
^ Screw the Rules, I Have Money! is supposed to be for using money to get out of trouble or rulebreaking. Deciding to buy a company isn't that kind of trouble.
If we're supposing a fictional situation where someone is throwing enormous amounts of money around for silly reasons, I'd think Conspicuous Consumption or something related like Executive Excess. "Look at me everyone, I can buy a multi-billion dollar company on a whim!"
Edited by KD
Elon Musk liked being the world's richest Twitter troll so much that he bought the company and made himself CEO, and has been, shall we say, very controversial in his new job. Is this Promoted Fanboy, Running the Asylum, or something else?
Edited by Ronfar