How did you texture the band?
I remember one time when I was making a load of beer engine pump handles. One of them, yew, I took a lump out when the oval scew caught. It was one of the best ones too. I cut a groove in it, about 1/4" deep, turned a walnut band to fit, broke the band carefully and glued it in place and turned the whole thing down to size. It looked so good that the pub didn't get it and I still have it.
They were a very good seller and there are still several pubs in and around Stroud with them. The staff love them because they ain't cold in the winter like the pot ones are. Good practice for the scew gouge too! Nice earner at £15 10 or 12 years back...
I feel a similar project to you vase coming on when I have finished what I am doing now.