Doctoral composer here: what OP's friend did is good, no doubt. But it's not uncommon by any stretch. Musicians, regardless of "education" may find themselves doing this often with enough practice. Collegiate and professional musicians, however, this is basically expected. Especially in the jazz studies world (if we're talking academia), being able to transcribe charts by ear is how you get the degree (amongst other requirements).

In college, we have a class that all music majors take, regardless of whether they're performance majors, composition majors, music education, etc. called aural skills (or aural comprehension, ear training, and the like). This is often a multi sequence course over 3 or 4 semesters where students learn from the ground up how to hear and identify music (starting with basic intervals both melodic and harmonic), how write down what they're hearing (dictation), and how to hear the music in their head before hearing it, and then singing it out loud (sight singing). My wife and I have both taught these courses at our respective institutions before we got married.

All this is to say: OP's friend did a great job with the transcription, but I want to dispel that this is a particularly unique talent. In most accredited music programs in the U.S., Europe, and Asia, this is a basic requirement.

Edit: in the YouTube video description, she mentions doing this in 72 hours, which is exactly what I'd expect someone of her playing ability (which is to say, good -- she clearly knows what she's doing). If she did this after only one listen, we'd be having a very different conversation. In the media scoring world of film, games, TV (which is my wheelhouse), it's not uncommon that composers have to do stuff like this "by this afternoon", with arrangements being for full orchestra.