I don't know if this is applicable to bowl turners but it is for spindle turners.
Being a right hander, swinging a spindle gouge tip left to right, pivoting off the tool rest, the handle swings towards me being pulled. But swinging the other way requires pushing the handle away from me. That's more difficult to do with control.
With a skew, getting the bevel on the wood and pushing right to left is fairly easy because my right side can get close to the wood. But going the other way requires my left side closer to the wood and an acrossed the body right hand position to make the cut.
I guess I could learn to use my left hand on the handle but it sure would be nice to just work from the other side of the lathe and do what I do best.
Assuming a STEB center or four spur and a free center on the other end, will a reversible lathe let me do what I think it would?
charlie b