There are a number of ways your primary 2nd stage can fail. One of the more common is the strap tie holding the mouthpiece on breaking, but there are certainly enough others to make having a safe second worth while. I'm not a zealot, and figure most of the time dive how you like - I don't take a snorkel in calm water/weather, have been solo diving, and probably done other things that you think are unsafe. The safe second, like a dive knife/scissors, is something I think that most of us would rather have and not need than the opposite. I use the Atomic safe second/integrated inflator, which for me solves the issue of the dragging octo.
An octopus is strictly for air sharing with an OOA diver. It is not and was never intended for redundancy for the primary diver. Therefore, dispensing with it has little impact on the safety of the primary diver. It may affect the safety of the partner (secondary) diver if they are not trained in the art of buddy breathing.
If you want redundancy then you need two complete regulators, not 1.5 regulators.
I doubt anyone can produce any significant statistics demonstrating buddy breathing is more dangerous than the competing method of air sharing via an octopus in the open water environment. Divers did and still do dive in minimalist configurations without any demonstrated decrease in overall safety. Saying it is so does not make it so, no evidence other than dogma proves otherwise.
The octopus/safe second concept is part of a system, it is a good system no doubt and it works. The system is designed to facilitate air sharing with an OOA diver in open water with minimal training via an extra second stage. The redundancy that is built into this system relies on an similarly equipped diver. Once upon a time long ago scuba divers received more than minimal training and did and were taught to buddy breath and the art of the free ascent. Since both divers in such a team were taught buddy breathing skills then they too were part of a system but it was more of a skill-centric system than an equipment-centric system. Both can work very well. For the solo/independent diver, none of this matters because they are not operating within either system, there is no buddy to buddy breath with or to share air via an octopus.
Minimalist diving represents a return to the former skill-centric diving methodologies and a parting of the ways with the low skill requirement, equipment dependent, modern training wheels, carry and extra everything system.
A BC, a buoyancy compensator, is a construction that largely compensates for a lack of skill. With some exceptions of course.
N