It's probably a function of how your brain works whether or not you prefer music or silence. For me, a middle-aged man with ADHD, my brain is constantly wandering off to some other thought that isn't what's in front of me. That's not wholly under my control (though stimulant medication does help reduce the effect). BUT... if I have headphones on and am listening to something (wordless music usually works best, but music with words in a language I don't speak is often just as good), then that gives me some partial control over my brain wandering off. Because when my brain wanders off in the middle of a coding session, it usually will wander off into suddenly paying a bit closer attention to the music I was listening to. And then, since that's not something that requires the verbal-processing part of my brain which is the primary part I use for programming, that part of the brain "gets bored" and looks for something to do, sees the code on my screen, and goes "ooh, that's something interesting" and my attention is back where I wanted it to be in the first place.

ADHD, I've often said, is mis-named. It's not attention deficit, it's uncontrollable attention. Although there are many factors that go into the thing labeled ADHD, a large part of it is usually that the "control center" of the brain (the part that controls "executive function", deciding what to do next and so on) is underpowered compared to most people. (Which, I'm told, is why stimulant medication often has the seemingly-paradoxical effect of "calming down" hyperactive kids: because it helps stimulate the executive-function part of the brain, thereby giving them more control over their own thought processes. Certainly that's how it works for me, though as a middle-aged man I'm no longer hyperactive the way I was when I was a boy). So I manage my ADHD brain in two ways: one, I take medication that gives me more ability to control my attention (though not as much as a non-ADHD person usually has), and two, I play tricks on myself. I know that when my attention wanders, it'll usually wander off to something within the range of my immediate senses: my line of sight, or something I'm hearing. So I give myself things that will catch my attention but not hold it for very long... and wordless music is one of the ones that works best for me.

So really, it all depends on how your particular brain functions.