Wood lathes don't have cross slides, also have a very small through bore, even the big ones, also no gear drive. I have a small Jet wood lathe, and also a top of the line Robust with a 25" swing and 3hp motor. The handwheel on the back end of the spindle has a hole less than 1/2" diameter. It is threaded and I screw my vacuum chuck air hose in there.
I also have a small bore Mid America cue lathe and just got a large bore Mid America cue lathe.
Cue lathes and wood lathes are two totally different animals. Cue lathes in some respects more resemble a machinest lathe.
My Mid America small bore cue lathe will be for sale shortly, $100's less than new, plus shipping, but no tax. Or could be picked up for no shipping.