My first inclination is to say that questions about computer-automated production belong under a different site, but Personal Manufacturing and Digital Fabrication didn't make it past beta. It could perhaps be argued that computer-automated production is just another evolution in woodworking, similar to the progression from hand tools to power tools. Also, I imagine some shops might initially produce an item using the more typical woodworking techniques but switch to using a CNC and/or laser cutter as they scale up production. What does everybody else think?
I think they should be included. They're woodworking tools after all. I'd say that questions related to programming these machines don't belong here, because that crosses over into software, engineering etc. but there are many possible questions I could think of (given that I work at a joinery with a 5-axis CNC router) directly related to the woodworking aspect, that would have been great to ask when we first got the machine. Things like tooling selection (i.e. router cutters and tooling blocks), workpiece holding and the like which are both directly related to woodworking and specific to CNC machining. I now also have plenty of knowledge that I can pass along on the matter.
Also you can get small-scale, DIY or second-hand CNC routers for less than $5k, and probably even less than $1k, so it's not out of reach of the average person, if that's to be a factor.
Would you exclude questions about a spindle moulder? To me it's the same principle.
I think while the questions can be on topic (assuming they are actually working with wood and not some other material). First I suspect we won't get a lot of these questions because I think most would consider this to be a more 'hand-on' question and answer place, not necessarily a more production oriented one.
But just because of that doesn't mean those types of questions shouldn't be asked here. The important part is if the question is focused on the wood working aspect or some type of manufacturing issue that would be better asked elsewhere.