My thinking is that the best system is one that keeps movements in the different directions independent from each other and the BCN3D+ for example does that, the printhead is on a Z-screw and moves only along X with the bed moving along Y. With an XY moving printbed you see a bit more vibration. An XY moving head is a good system, only after 5 years of use I am seeing that tiny perturbations occur and I probably have to reassemble the entire shaft assembly.

It makes sense distinguishing these if you like. In robotics people are doing PhDs developing taxonomies just so we can classify all different possible workable configurations of robots, with many DOFs.
We will for now need X-bed, XY-bed and Z-bed types for Cartesian printers, then there's Delta, Scara and Polar printers. I still prefer the Cartesian type because of the accuracy.