Why specifically at four in the morning in your analogy? I mean, door-to-door surveys are a pretty common thing at normal hours of the day, and that seems like a reasonable analogy without the arbitrary time change.
Bluetooth provides useful features for many users, that's why.
Yes, like making poor estimates of my heart rate, being an insecure keyboard, or occasionally failing to deliver audio to my car speakers.
Definitely will be useful in my web browser.
It shouldn't be asking, ever. The answer is such a hard no, it makes me wonder why they even tried.