Accuracy vs. musicality


I imagine if you have an unlimited budget you can have both ultimate accuracy and musicality.
For those of us whose budget is somewhat limited, we usually have to make a choice.
I very recently obtained  speakers (which I prefer not to name so as to avoid debate.  Some of you do know them.) These speakers were criticized by an Agoner for not being accurate.
Now, I heard the speakers he liked better and they we’re fine, and maybe more “etched,” but they did not convey the musical message as well to me.  Indeed I compared many such speakers recommended by members (there was little love for mine) and I found them not to have the sound I hear in a concert hall. They did not communicate to me as well.
So, what’s more important: precise accuracy or musicality?
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I've owned speakers from manufacturers that put the science of music first. Kef in the early 90's made some speakers that measured remarkably flat in room while falling flat on their face playing music, Modern Revel that swear they have a formula for interpreting listening preferences into measurements that make their speakers sound best and I have these speakers that make JA scratch his head because by all measurements they should sound like crap yet they make me want to run downstairs to listen to songs during bears game commercials they are so captivating. It's whatever scratches your itch. 
@artnoxon. It’s refreshing to hear “uncoloured” facts.
I find it revealing of the vast differences in the enjoyment of music seeing a reasonably decent set of equipment placed in the home in a way that absolutely precludes hearing what the equipment is capable of. But I too have friends that are entranced by Stingray cable channel played on the flat screen. They want the beat ma’am,or man,just the beat. 
&artnoxon. Your comments on transient attack are likely why people fall in love with the sound of great horns speakers, like the JBL DD6700. Life. 
This is not complicated. Precise accuracy will reproduce the music precisely the way it was played. If you love different types of distortions- ok. have seasons tickets to classical concerts. I often love a 2nd or 3rd row,just 2/3 seats left of center for Vancouver Recital Society events. Solo instrument and Chamber music. I hear fabulous live sound. . I would love speakers that would be accurate enough to reproduce the concert.