I've taught many solo classes. Redundant buoyancy is not a requirement for the SDI solo class, unless conditions warrant it. I do not feel that 80 degree water tropical single tank solo requires it, but we do discuss it. As with other types/conditions, can you ascend without a BCD in your typical gear configuration? If you typically wear twin 120's in fresh water in a 3 mil, I'd say you need redundant buoyancy. If you wear a 7 mil and an aluminum 80 with 20 lbs of lead on a weight belt, I'd say no. Your instructor can help you answer those questions, and I'd say he has....
Just goes to show the different environments. While standards allow a single cylinder with h-valve, I don't. My solo students have to have at minimum a pony bottle for redundancy. With that in mind, I also require redundant buoyancy.