First of all, the version above is incorrect. It will not let me pick more options. The real version is 1.21.73 at least and possibly more versions. The issue happens when trying to play the same music disk in multiple locations at the same time. I had joined a friends world via the friends tab. When we both tried to play the creator music disk, the game would put the disk into the juke box but there would be no sound. The other juke box would play as normal. We then discovered that when one of us took the music disk out and put it back in, it would silence the other persons juke box (we were a couple hundred blocks away so we were not hearing the same juke box). Once silences, the music disk would remain silent until the disk was removed and reinserted into the juke box. We could continue silencing the other persons music disk just by inserting the same one. An important note was that this did not seem to happen with different music disks (we tested with creator and otherside).
This issue is being tracked at MCPE-38457.