What exactly is meant by accuracy? Is it simply timbral accuracy? Is it the fleshing out of all the details in the music? Is it separation of instruments so that you can hear all those details clearly? Is it flat frequency response, and full range sound?
Is musicality what is known as PRaT? Or is it a warm, rich sound (the tube sound, for example)? Tune vs. tone. I think everyone's definitions are slightly different - for me I think a system should be able to do both. I don't want music that sounds lifeless and slow, nor do I want music that sounds fast but also thin and distant.
If these are two extremes along a continuum then in the middle lies a compromise. Maybe solid state gear that leans to the warm side of neutral, with speakers that do the same and use soft dome tweeters, cabling is all copper. Maybe insert tubes somewhere. Or an all tube setup that leans to the brighter side, and uses speakers that measure flat and have lots of pace.
There are so many combinations of gear, and so many different kinds of rooms you can put them in, that I don't think it's one or the other, accuracy or musicality. I've opted for a solid state system like I've described above and I feel like I've got a nice mix of both. It's not the best system by any stretch, and it may not do either thing to it's fullest, but it somehow manages to not embarrass itself with either. It only took a year of trying various components to get the mix right - frustrating for sure, but worth it in the end.