I don't think so. The list is for 'a properly equiped diver'. It then goes on to say 'a properly equiped Solo diver will cary the same equipment with one major modification...' which turns out to be an independent alternative gas supply which in their opinion should be a pony bottle.
You have an opinion and I can see it based on that bullet, mine is formed both on my instructor of the time and the context of the entire book and my experiences as a solo diver and buddy diver. Again, carrying around an extra second stage that does not represent a redundant air source and is in my opinion superfluous and is extra gear and therefore not minimal and is not necessary and is counter productive. The sentence my instructor referred to was not bulleted, it was in a paragraph. I do not know where my copy is, maybe my memory is wrong, if it is then I stand corrected and regardless my opinion still does not change. I do not want an octopus secondary on my primary air source for solo diving. My octopus/secondary for solo diving is on my buddy bottle.
A solo dive in the context of non-technical diving is no deco, no overhead, no penetration. Any problem encountered does not require the diver to do anything but go up to the surface. If that cannot be accomplished on the primary air source that is the entire purpose of an appropriately sized buddy/pony bottle and entirely separate regulator. If the primary fails, go up, switch regs to the redundent system and go up. If you can and want to breath the malfunctioning primary for some reason, go right ahead but I am switching and going up to the surface where I have all the air in the world. And if there is some restriction to my surfacing like kelp or swim to shore such, then the buddy bottle should have been sized to take that in account.