Christina does most of the writing save for her debut. She's very generous with giving credit to, as Mark Robson talked about this and his involvement on Hurt.
She writes and produces, wtf are you talking about? She's credited as main writer in many of her songs and she executive produces her albuns AND her own vocals. Stfu if you don't know sh*t.
You can tell when an artist as a 'writer' is just an amateur lyricist (similar to every teenage girl in their bedroom) and they work with actual musicians to complete the song and get writer credits. But let's be real no one in the GP thinks of Xtina as a songwriter anyway.