There may be something else wrong with this B string. The winding/tape is not adhering to the core, and at the taper (now exposed) it kind of peeks out (? English is not my first language) outwards in a couple of places so you can feel the discontinuity with your fingers.
The taper is exposed because I nicely removed the silk, but the sound didn't change.
The taper is exposed because I nicely removed the silk, but the sound didn't change.