Yes the "dan" part is completely understandable. I was more referring to the symbol used (and the kaiden/overjoy that you addressed).
Ex: o2jam made their dan scale and used ♪ and ♫. That way when people say "hey I reached ♪4!", people immediately know he's talking about o2jam and not LR2/IIDX. (And if they don't, they'll inquire about it and learn about it!) The different symbol incites that the dan scale is a different thing and there's barely any underlying comparison with the LR2 dans when they are mentioned. They stand as their own and thus this "authenticity" I was referring to.
If you consider this scenario here, people will be forced to specify "hey I reached mania ★4" every time they want to share something related to this to avoid confusion. The need to specify it's mania's version only incites it's not original, which leads to comparing to the original -> LR2. And of course, this is nothing similar to LR2's dans. This could very well bring negative first impressions, expecting something and not getting what you expect.
It's a small change that will stop comparisons, confusions and help it gain an identity and popularity in turn ^^