Where are you getting these numbers? Typical where? A 19 or 20 cu ft bottle is perfectly adequate for getting to the surface from 100 ft. I've done it.
Your statement about deeper, solo, and deco dives is also way off the mark and shows a lack of information. A buddy is still important on deco and deep dives if diving as a team. On solo dives you have no buddy so let's just leave that out and not lump it in with the other two. A buddy or teammate is still important but should not be necessary to get to the surface if the gas needs were planned correctly.
The knob in the middle has no bearing on this. It should always be open except in the case of needing to isolate the gas supply in the event of a problem. This is taken care of on the surface. The way I was taught is that the isolator is always kept open. You check this before getting in. All your first stages are on. No big deal. You breathe from each reg to make sure of that. Depending on the type and configuration your pony bottle may be left on or shut down once you are underwater. It's not rocket science.
This is also why if the standards recommend, require, or allow the use of alternate supplies the instructor must spend time thoroughly covering that. Set up, types, use, and when and how to deploy.
It also seems like there is some term confusion here. Let's just get rid of that and call it what it really is - a spare cylinder. Pony, stage, deco bottle, etc. and the seeming interchangeable use of those terms is what gets people all screwed up. If you are carrying a spare cylinder then you handle it according to the needs of the dive and the best practices for it's use under those conditions. If it has been filled with a mix that is not appropriate for all depths you take that into account and mark it accordingly. That is a deco bottle or stage. If it can be used at all depths for the dive then it's a back up cylinder and air supply. It's not that complicated.
If it's properly configured and the user mistakenly gets on it instead of back gas then when it runs down they switch to one of the other regs. Again, not a big deal.
The link to the thread discussing the Cedarville accident was not due to the diver carrying a pony. It was due to diver error and from the sounds of it poor pre dive procedures.