I would not say "any" bar. I think there are certain aerobars that might work on just about any carbon bar, and certain carbon bars (obviously) that take any clip-on aero bar.
If you look at the standard clamp on something like a pair of Profile Carbon Strykes, there is no way that is not going to cause a stress riser (especially if you use the shims to use it on a 26.0 bar -- vs. a larger 31.8). It is not a function of being careful or anything like that, it is just that the clip-on part of the clip-on aerobars is just not designed to apply force as evenly as a stem. In the same way, you see that some stems don't work well with carbon bars if they "pinch" in certain areas.
Also, there are lots of lightweight bars that do not have a lot of material to support aerobars of any kind. I do believe there are carbon bars that are not "approved" for clip-ons that would work fine with certain clip-on bars. HOWEVER, I would definitely say stick to bars that are approved for general clip-on use. There are now plenty of them on the market.
If you are looking to retrofit and not buy new bars, I can imagine a scenario where you maybe wrap the bars with several layers of electrical tape or something else in an attempt to protect the carbon, but I would definitely NOT recommend that.
The real problem is that if you use bars that are not approved for clip-ons, you really don't know what is happening. Since carbon fails in a rather dramatic fashion -- "explosion," for lack of a better term -- I don't think you would want to risk it.
Downhill racers survived riding on regular sized axles and less burly equipment, but that doesn't mean that it was a good idea. :)
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