I do, nearly as much as I love teapots! Fortunately I don't really have the soul, the space (or cash) to be a real collector so I only own a few of both.
This cosy was made a few years ago . Double weave is a great structure for this purpose as you can stuff while you weave. I didn't make it reversible - it seemed easier to add a simple cotton lining. To add the flowers in some of the blocks all 16 shafts of the loom were needed for the draft.
I always intended to weave more teacosies in this style but sadly never did. The only other double weave stuff-as-you-go were my sudoku coffee cosies and I don't own them any more.
There is no stitching to show as the drawn thread piece I am stitching at the moment is taking forever to finish. I am quite enjoying the process but, since it is basically an Effie Mitrofanis design from her book on needleweaving, I want to complete it and start a design of my own. Even if it does turn out to be the same old, same old - french knots with some pulled thread stitches and buttonhole circles and maybe some bullion if I really feel adventurous!!!!!! What about an embroidered teacosy?