When the Winx say "Magic Winx, Bloomix" or any other transformation's name, do they mean to say "(the first transformation), Bloomix!"?

I don't get what you are saying.

Winx club says "Magic Winx,(other Transformation) cause the group name in the show was never say winx club , but the name of the group in the show was Winx or Magic Winx.And magic winx is not the official name of the first transformation so the girls say magic winx cause that was her group name in the show,however in the theme was Winx Club,and before the name of winx club there has many name of winx club theme, like Magical Bloom and winx just a fairies.

Yes.

I didn't get what you said

No Magic Winx means transform. The first transformation was Chamix and in Charmix you can earn A charmix