I strictly run Debian Stable on my own servers but, they're low in numbers (office uses CentOS, because we need to), and I use unattended upgrades on these small servers. At the end of the day, I don't touch them unless I have to (because updates restart services most of the time anyway), but I understand your point completely.
I'm not against only back porting serious security fixes only (since both time and resources are limited, and a good trade-off is always the best choice). Just it did occurred to me that I didn't wrap my head around the details of this particular subject.