Non-native English speaker here: doesn't bedtime refer to the time you go to bed, not the time you have to wake up? I mean, I was reading "bedtime alarm" and thought "so people these days use an alarm to tell them when to go to bad? crazy times" but then that shifted in "wait does an application use a rather confusing term for something as common as getting out of bed?"
Even when it's a phone call instead of an alarm we say "wake up call". I've never, ever heard the phrase "bedtime alarm" before.
I really hope Apple didn't call it that.
This is the only thing I can think of as a reason why. I have no other active alarms, iPhone 6s.
I think the actual annoying technology part would be that in my half-awake stupor I wasn't able to find that the bedtime alarm moved to the health app without Googling it. As searching "bedtime" in the app search bar still shows the old bedtime app and still launches you into the clock app.