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?