I agree, I even considered changing the name to Sky Blue. and I probaly will in the next few updates.
I think it's right step. The new skin is really 'Cool' and I like it very much, but the name 'Cool' is in fact meaningless.
I have the idea that might come up to the older version supporters expectations: merge the two skins
I would choose the darker frames form the old version and use the "Powder" (sorry for borrowing the word but I hope you know what I mean) colour of the frames from the new version as a background for the Main and Now Playing panels instead of the current white.
The Player Control Panel at the bottom looks slightly better in the new version, IMHO
BTW, I like both skins but maybe the idea is worth considering