Yes, understood, but it seemed to me like an irrelevant and misleading detail, as if he accidentally revealed his passwords or some other security detail on camera.

It seems like a very interesting detail considering that we don't know how it was done.

Maybe the last (seemingly innocent) clue (or just confidence of previous clues) the hacker needed was present. Or maybe it was just the hacker wanting a distraction (though I could think of better ones...) or doing it for fun.

Assuming he ever types his passwords, and you can hear the key-clicks in the audio track, he did.

I thought the same, but it's still a bit of a "funny" fact