A number of years ago I trialled a reverse look-up using this method (for both mobile numbers and email) as a grey hat project for a data aggregator I contracted to validate existing email / phone pairings (bad email and numbers gets you banned quickly by dispatch partners).
It worked because the returned "is this you" image at the time returned a filename that was a base64 encoding of the users ID for the graph interface, which at the time pulled back a surprising amount of info if you query the key directly (obtaining the key generally required you to be a friend-of-friend or closer).
I got hit rates of about 70% for a sample of ~100,000 email/mobile pairs (that were already suspected to be valid).
Sounds like the trick to get the key has been resolved (I was too early in my career to feel comfortable disclosing my research) but I am surprised a similar vector exists almost a decade on - especially after the whole Cambridge Analytica fiasco.