> What does AutoSleep offer above and beyond Apple’s Health app?

In my experience. After initial setup, it is way more accurate.

Apple commonly says I get more hours of sleep than I know I do. Apple counts just being relaxed as sleeping. Whereas I can tune AutoSleep to correctly identify the difference between me sleep and just being super relaxed. Thus I get a much more accurate image of what is working

Also the apple sleep graph is actually terrible. Almost impossible to understand when wake up are occurring.