Bubbles, what is it that you think you been unlucky about?
The Vasart (& Starthearn?) solifleur vases have a standard, small paperweight as the base. The paperweights, of various sizes, were finshed in a variety of ways. Some were fire polished to a very smooth finish, others were fire polished to a degree that got rid of sharpness and roughness but still left "undulations"; others were ground out in a fairly simple way.
If you show a couple of photos of your "unlucky" item, with standard view showing canes and a view of the base, maybe further comment could be made.