That sounds orders of magnitude more difficult. You might as well 5-axis machine them.
Truthfully, the problem they have is that it's still cheaper, easier, and more accurate to do this with a subtractive CNC machine.
Plus you aren't material limited.
You are right that in practice, you would likely want a 4th axis rather than messing around, but a 4 axis setup is just not a big deal (the 4th axis on my woodworking CNC cost < 4k)