I'll concede that for the vast majority of things that get made on 3D printers (knick knacks, toys, ornaments, etc) a 4th axis would not be of much benefit. But for those of us trying to print functional parts that will see real use, it could be a big deal.
It's always been a nagging gripe in the back of my mind (the kind I keep to myself because I know nobody cares) that we call these things "3D" printers when in reality they are 2.5D printers. They make 3D parts but the operation isn't 3D, it is just a list of 2D operations separated by Z steps. Bed height correction doesn't count. You've probably never seen a 3D printer go from X10Y10Z10 to X50Y50Z50. The word "slicer" says it all. These parts will always have a grain like wood and will always be weak in one axis. And will always require supports for overhangs.
Adding axes could change that. Imagine a sphere printed on a normal 3D (2.5D) printer; it's a stack of disks starting with small disks, going to larger disks, and back to small disks, probably with a bunch of wasted material for support to keep the thing from falling over. Now imagine that sphere printed on a true 3D printer. It would have to start at the end of a rod probably, and look like a lollipop. It would start out as a little bud at the end of the rod, then grow from the inside out. Instead of slices it has layers, like an onion. Each of these onion layers are printed in a different orientation so there is no axis that is weaker than any other axis. A very orderly and uniform ball of yarn. Now take that sphere concept and apply it to anything else.
There is a good deal of situations where this either won't work, or generating the tool paths required to avoid collisions will demand such a powerful slicer (unraveler?) that it will be more trouble than it's worth. For simple parts though, well... I want it bad enough to try making it.
I am intrigued by these as well. I am just waiting for an excuse to get one.
Thanks for the recommendation! Marlin is what my old Prusa uses. Is Arduio IDE still the tool used to flash the flash the firmware?
Can you post a picture? I am not sure what you mean by "not restricted to linear motion."