I think the whole hand made along with the alleged loss of skill debate is pretty much meaningless. Technology and skills evolve and a more pertinent label to attach to a wooden artefact (furniture primarily in this case) revolves around terms such as one-off, custom or bespoke as opposed to batch production and mass production. It's often said that CNC machine use is ninety percent long runs of repetitive products such as kitchen cabinetry, e.g., panel sizing, line boring for shelf pins, sockets for hinges, and so on. The 'other' ten percent of CNC machinery use is for everything else, whatever that may be.
Included in the everything else category are people I know of, quite rare I admit, that use their CNC machine for one-off jobs. I know of a furniture company that regularly set up their CNC machine for such work- indeed, their reputation is largely built on such skill and expertise in harnessing contemporary sophisticated technology. An example from their portfolio was machining a single barley twist column for a pulpit or lectern, I don't recall which exactly. It probably took as long from the beginning to the end for that job on the CNC as it would take a skilled carver/woodworker to do it entirely by hand with a hand saw, a plane, lathe, marking tools, a pencil, some masking tape, gouges, mallet, and the requisite hand skills. To do the job on a CNC machine requires alternative sophisticated skills from generating the drawing digitally on a computer to preparing the wood and running the programme.
I suspect the final charge to the customer wouldn't vary much between the handwork only approach and the hi-tech CNC approach to creating that single barley twist column taking into account wages, workshop expenses, investment in technology and machinery, etc. Slainte.