A while back I tried a little experiment because of this very question. My 9A has a CS Hartzell, but so many people ask this question that curiosity got the better of me and I had to know. At Watsonville, CA a few circuits of the pattern seemed like the right thing to do one day so what the heck. Being careful to trim for an exact airspeed on climbout a couple of laps around the patch were perfomed to see the exact vertical speed of the climb. Then on downwind I set the prop for 2300 rpm and left it there on landing and taxi back, etc. The take off and climb out was then tried with this setting of 2300 which is pretty typical of a fixed pitch prop on takeoff and the climb dropped from the 2000 fpm range to 1400-1500 fpm. The take off roll was longer, but not dramatically.
Now add some time and the a trip with another RV-9A. This would be Leland Collins 9A to be exact which has a 3 bladed Catto. We made a fuel stop at Bakersfield and then departed to the south which gives about 30 miles or so to get to 9,500' to get over a mountain so we were climbing out aggressively. My wife and I along with baggage were in our plane, and Leland and his bags were in his. As we climbed out at these differing weights Leland and his Catto prop were out climbing us!!! It was really impressive to say the least. I took off first and he beat us to 9500 by about 700 feet or so. That is the only fixed pitch prop that has ever done this to us on a climb, including RV's with 0-360's. The next leg of the trip Leland had a passenger and the weights were more similar to ours and the results flipped on the climbs, but that is not a slam. The performance of the Catto was so incredible that it was hard to believe. This prop has cut well into the perfomance gains of the CS while maintaining the simplicity of a fixed and the weight advantage to boot.
So there you go, good luck trying to make a choice. It'll be a win win which ever you choose.
Best,