Could someone help me, I really don't see the issue here. It's not like TOS: The Enemy Within, when evidently someone forgot to sew the arrowhead insignia on one of Kirk's uniforms.
The TNG-era combadges can be removed and reattached by the wearer at will, as part of their in-universe design. Right? So, the Sisko changed his mind about where he wanted it. It was more perfectly Sisko in one spot until it was time to be more perfectly Sisko in another spot. Big deal. Yes?
Or is there some quartermaster mandate about where officers must wear them to the nearest millimeter?
It's kind of where the uniformity in uniforms come from. Otherwise, people can wear combadges wherever or however they want--left, right, upside-down, sideways, on the sleeves, etc.