The longer I'm at this the more I could care less.about neutrality.
I want it to sound good to my ears at even the loudest volumes.
I want my music full, rich and never thin and fatiguing. Full bodied and room filling are also a must.The bass can be little loose or the highs a little rolled off etc...
In the end it better sound good to me even if it has to add or subtract from the recording to sound pleasing.
We have similar wants. I've been swapping in and out various bits of gear over the last year, always dissatisfied with what I had heard. I began to realize what I really wanted, and thankfully my last two or three moves are working out well. Full bodied sound that projects forward towards me is a must. I like lots of detail too, or perhaps that's clarity. But to me it is a must that I be able to follow every instrument's line. If instruments bleed into each other than how can the melody of a song come through? It'll just sound muddy.
But I do value neutrality. The best speakers I've heard achieved what I wanted, but they were also quite neutral. At least when it comes to highs. I don't like elevated highs that become edgy and shrill. But generally I like knowing that my speakers are relatively neutral, as speakers that have large dips and peaks I'd imagine can really make certain albums sound poor, depending on the levels used on those particular songs.
But of course many things are important. Another big one is driver integration. I think it's the main strength of my Quad 12L2. You don't hear two separate drivers, but rather one piece of music where everything fits together, and the various instruments sound like they are playing off each other the way they should.
To address the OP, musicality to me means whether I am moved or not. Some speakers sound boring. Those that do not are what I'd call musical. Does the emotion, rhythm, and melody come through?