I agree with your point etc.
Just on a purely philosophical level: it could also feel less unfair in expectation, if you randomise and state the rules and your lack of conviction in ranking etc up front in the sense that it can net reduce biases and people get exactly what they agree too.
You could even issue a certificate saying “was in the selected cohort, but didn’t win the lottery” or similar to reduce some of the signalling effect.
To single out one specific point … The sentiment around feeling indebted to FTX and by proxy people associated with it seems like a deeply worrying and flawed viewpoint?
If the argument was purely “she’s smart and can likely do good work, let’s give her a chance”, I’d be far less concerned.