All the trims that have been discussed here work by keeping the velocity low. Noise is generated by having an excessive pressure ratio between any 2 stages, and that pressure ratio drives the flow sonic. Sonic flow causes shock waves, and those are noisy. Divide the pressure ratio into small steps, velocity stays low, and the noise stays low too. Compressible flows de-compress as they flow through the valve so the ports must increase to correspond with the increased volume. Usually this means radial outward flow.
Cavitation is also caused by velocity. Bernoulli pointed out that pressure drops as velocity increases. Get the velocity too high, the pressure drops to the vapor pressure of the liquid, and the liquid flashes to vapor/liquid flow. then when it slows, the pressure recovers, the bubbles collapse, and we have cavitation damage. Liquids are incompressible and do not expand (unless bubbles form). If bubbles form they are more likely to form in the final stage(s) because those stages are at lower pressure nearer to the vapor pressure of the liquid. Frquently anticaviation valves have radial flow INWARD so if the final stage cavitates, the bubbles will crash into each other and collapse instead of damaging something expencive.
I am surprised to see Copes, Hammel Dahl, and CCI compared. That's like comparing Ford, Chevy, and Ferrari, in my humble opinion. It seems to me that Copes and Hammel have not noticeably advanced technology since the 70s. Again, my opinion, that CCI's technology is in having a strong applications engineering group and their Valve Doctors do pretty well in custom designing a trim to a particular application. This is why, in my first message, I suggested consulting a factory applications engineer. By the time you have a problem big enough to spend the kind of money you'll have to spend for a CCI valve, you have a lot of productivity riding on getting the application right.
Still, CCI does not provide the answer to every situation, and there can be much less expensive answers to a given question. That is why I mentioned other manufacturers such as Leslie, Valtek, Masoneilan, and Fisher. But you're not going to be able to pull an answer up by reading their catalogues. Their local sales guys may be great, but for this kind of application you need the highest level of confidence. You'll need to talk to the factory application engineers who live this stuff every day and they either design the valves or sit 3 desks over from the designer. They have access to the trick parts and to the understanding about where to use them.