Essentially the whole "watches you while you sleep [not creepy at all] so it can wake you when you're not in a deep sleep phase." I do use a smartphone for that, as it already has motion sensors, and it is indeed somewhat gentler to wake up to.
(OTOH, if I absolutely positively need to wake up at $TIME, the ticking mechanical bedside clock of my grandfather it is: it hasn't been innovated for a century, needs to be manually wound, is completely independent of any external source, and rings loud enough to rouse the dead)
6 minutes isn't a whole lot for a bedside alarm clock. I probably wouldn't correct it unless it reached ten minutes or more, which is when it would start making me late for things.
Only device I have is my oven that uses this kind of clock... but usually only winter/summer time alters this irrelevant to begin with. Not the mention a power outage sometimes and then months before it's set again.
Then again, what kind of more dependent systems or companies would have negative effects due to this? Besides bedside alarm clocks.
Heaters and similar high-draw industrial automation rely on a clock (which is not necessarily this clock - plus optionally another signal sent by the power provider over AC) to use off-peak (i.e. cheaper) power. Six minutes' running at peak power rates can get expensive at scale.
