The premise is "I often think that I wake up just before my alarm goes off."
If 90% of the time you wake up well before the alarm, the clock saying fifty-something, and can shut it off before it starts,
9% of the time you wake up noticably past the alarm,
and 1% of the time you appear to have woken up just before it goes off,
then that's not very confusing, and isn't going to prompt something like this article.
The article is about being much more precise on a regular basis. Or the illusion of it.