Just to add to the debate.
1. A twinset, doesn't need a backplate and wing. As long as the Stab' jacket can handle the weight.
2. A twinset may, or may not, have a manifold. There are plus and minus on both sides manifold/no manifold.
3. It isn't just caves that can sheer an isolator valve, I had a buddy sheer one in the sea in adverse conditions when the boat pitched on to him. On the upside, it was the manifold that broke -- not his head.
4. Personally, I don't like crossed hoses, left cylinder - all the hoses to the left, right cylinder all the hoses to the right.
Back to the original question
A Twinset gives you GAS redundancy, It doesn't make you a necessarily a solo diver. Solo diving is a totally different thing. It is about more than just redundancy, it is also about being defensive in your diving. I will do far more aggressive things when diving with a buddy or team than I will do if I am solo.
These days a do very little solo diving, mainly because I mostly dive CCR. There are particular risks with CCR diving that are not present on OC. That said, these days I would potentially dive solo on my unit on some of the low risk dives I do. I tend to carry a camera on most of my dives, my attention to my buddy is sometimes poor, so to some degree I am diving solo. My late partner was a much better photographer than I am, we often separated during dives, due to focusing on our subjects rather than each other. More often than not it was me, not her that noticed the separation, and me that would start searching for her. She dived a twinset, I dived a CCR with bailout.
Having gas redundancy will not help if you are caught in line, trapped, injured, black out, or struggling to exit the water. With all of these a buddy may well make the difference.
Gareth