Nassim Taleb (who coined the term), literally uses the aviation industry as a prime example of antifragility in his book[1], so I think our wires are getting crossed somewhere.
[1] https://www.amazon.com/Antifragile-Things-That-Disorder-Ince...
Aviation is absolutely robust though.
Do you happen to remember how Taleb framed aviation as anti-fragile instead of just robust/not-fragile? As an industry I suppose we're quite good at taking lessons-learned from failures and incorporating those lessons back into making aviation safer as a whole.
I'd argue that most Western government institutions (say, governments that have been around for 200+ years) are what you'd call "robust"; likely churches (the Catholic Church, since it's quite centralized), as well.
Each flight and aviation as a market are very fragile, what is the entire reason its safety was designed to be anti-fragile. An anti-fragile safety process makes aviation robust, despite its inherent fragility.
You probably don't want a lot of process reliability in anti-fragile contexts, like the startups you mentioned. You insist on reliability in fragile contexts.