There are no rules to naming the companies (apart from menthioning the type next to the name, eg sa ltd etc). The fact that many record labels put "Music" next to the name shows the field of activity, (that they sell music), but that doesnt mean that Yuki doesnt create music as well, so she also has the right to put "music" there :)
Also big Companies like Sony or Bandai have other fields of activity too, eg, Sony Computer Entertainment is games and consoles publisher, so naming SME as it is helps people to differentiate.
Btw made this to show you how the logo would be much easier readable in my opinion. It might be less artistic but it works.
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