Dear Larry,
Shafts are way out of my league! That said, here goes:
Shafts have flex, kick points, and vibrational frequency. The main effect is on A) timing, and B) feeling by way of post-impact feedback (shock and vibration).
The flex of the shaft mostly affects timing in relation to your swing speed. or more properly, your pattern of "loading" the shaft. Some people "load" the shaft with torque at the top of the swing, and some load near the bottom. Different shafts react differently depnding upon your pattern. This also affects the kick point of the shaft, where the shaft under load then flips forward. So, not only does your swingspeed affect what shaft you should use; but also the pattern of "loading" in your swing.
This being the case, the question about your back is whether it constrains you to use a lower-than-normal speed or a different loading pattern. It is entirely possible that this is the case. The only way to know is to try different shafts, probably under the watchful eye of a trained club fitter.
As far as "feedback" is concerned, there is no difference until the impact is communicated up the shaft into your hands and arms. This comes as a vibrational frequency and a shock. That why a bad grip wears a hole in the glove in odd places and pros look at your old gloves to fdiagnose some of your flaws. Also, frequency matching is the process of tuning the physics of various clubs so they all feel like the same club (usually something in the middle like a 7 iron). This is said to promote consistency. Some shafts have inserts to dampen the shock, like Sensicore, and rifle shafts (I think that's correct).
This being the case, the issue for your back problem would seem to be whether one shaft causes discomfort from the impact. In communicating into your hands and arms, you learn to prepare for the coming "feedback" in an anticipatory tightening of the back muscles and the upper thigh and buttock and abdominal muscles. The combination basically surrounds your lower back with tightness, and so one shaft is probably different to your back than another one.
If the shaft is causing problems in your timing or in your feeling from impact, then something needs to be adjusted.
That's about as far as I can go on this issue. perhaps someone else will weigh in for you. Also, there is a very nice website called
http://www.swingweight.com, where these issues are probably discussed.
Cheers!
Geoff Mangum
The PuttingZone
http://puttingzone.com
The Future of Putting Now