Accuracy vs. musicality

I maintain 2 complete systems for different types of music and of listening.  One is built around Bose 901 speakers of the latest series.  I have owned several sets over 40 years of 901s.  I consider these the most musical of all I have ever heard.  The 9 drivers mixed against the wall delivers the richest and warmest music I know.  I also love my 4 foot tall 3-way towers I built myself using B & C drivers and tweeters from Italy.  These are very high sensitivity units that are focused and what some call 'brilliant'.  Bright sounds that allow me to listen to one instrument in the orchestra and follow that right thru.  That is not as clean and clear on the till fabulous 901s.
The other big difference is what music am I listening to?  Leonard Coen's latest is full of deep deep bass and sound great on both, but sound spectacular on the towers.  The same for the Melvins and the last couple of Qui albums out of L.A.  But if I want to listen to Joni Mithchell I prefer the Bose for her style and sound.  
When I get a new album I, of course, always play it on both.  If I had to pick one to keep and one to leave behind I do not know how I could make a choice.  
I can hardly wait to find a third alternative for yet another listen.  It does not have to be a contest or competition.  

IMO: Very few would really enjoy a perfectly accurate speaker.

The OP definition of accuracy may not be as well "accurate".
His definition of accuracy is probably means "overly emphasis",
which is the enemy of musicality.

But if we define "accuracy" as being faithful to the source,
no more no less then "accuracy" and musicality can go hand in
hand. In fact, "accuracy" is an important component of musicality
as it allows you to see cleary to the heart of the music,
bringing music closer to you.

Picked up a pair of the reissue JBL L100’s a few weeks ago. 12” woofer, retro design, complete wall of sound - sounds like a straight up recording studio or concert in my room. I was seriously sick of messing around with tweaking for accurate sound. I’m guessing a lot of people would scoff at JBL because it’s not sanctioned high end gear. For me it beats all of the “accurate” speakers I’ve ever had, hands down. 

@audioman58 totally agree, after upgrading my source I was able to finally appreciate the sound coming out my 2 sets of speakers and amps, also I listened to tracks I have been listening for 40 years in an entirely different way. Source is key and makes as much of a difference in my opinion than most speakers.