It is of course now too late to back out as you've bought a BXA, but in my opinion you would have been better off buying a better quality AXA rather than the BXA that you bought. You are going to find in the future that virtually all tooling is going to be more expensive for little or no performance improvement.
On the subject of wedge versus piston, piston type performance varies directly with the size of the piston and with the piston shape where it contacts the holder. The Chinese-built units that I have seen photos of all use a smaller circular contact shape. The first foreign QCTP competitor to Aloris was, I think, Yuasa in Japan. I bought their full AXA set when I bought my 3996 38 years ago (and as I recall, paid more numerically than you just paid for the CDCO). And both are still working fine. The piston contact shape is rectangular and significantly larger than the circular Chinese ones. However, today the price difference between Chinese made piston and wedge sets is negligible, and still cheaper than the few used Yuasa's that I have seen on eBay. So the wedge type is the better choice.
On another subject that is independent of all of the above, you should as soon as you can afford them buy several more #1 (201) and/or #2 (202) holders. All of the sets that I have ever seen only come with one of each. With only one, the only advantage that a QCTP has over the 4-way Turret is that the vertical adjustment is more convenient. The first job that you run that requires two or more cutters that have to be mounted in the #1 holder, you are going to be back to having to get out the Allen wrenches and then adjusting the height every time that you need to change cutters. I currently have about a dozen #101's (201's for you), most with a cutter already mounted and adjusted.