The pillow's got quite a large flat top to it and I don't think the sides
are quite steep enough that I could remove half an inch or so without it
affecting the way the bobbins hang. I've just removed the cover and I'm
willing to bet that removing the tape will destroy what remains of the
top.
I decided I didn't like my completely flat thick 18 inch styrofoam (dense
blue stuff) pillow because it felt as if it dipped in the middle (which it
didn't, but just felt that way). So I removed the cover and surformed a
gentle slope about 6 inches in from the edge, leaving the middle 6 inches
flat