Interesting comments so far.
I worked in a prototype shop for 12 years where we cut pattern pine, REN shape, urethane foam, birch, poplar, basswood, acrylic, polycarbonate, and various other materials on a regular basis. The main machines were a Bridgeport mill, a Hurco CNC mill, Enco metal lathe, and a CNC router table.
Although I was there for 12 years, the equipment (other than the CNC router) had been used at least 20 years prior to my arrival, and all ran just fine when I left. Perhaps some wood species may be more problematic than others. Care and maintenance is also a factor, but from my experience, I see no reason why wood cannot be cut on metal working machines.
Dale