Question about Ayumi and jpop in general

[nmskalmn]

Ayumi Hamasaki writes the lyrics for all of her songs, with two exceptions:
"LOVE ~since 1999~" and "卒業写真".

Ayu wrote the music to these songs by herself:

I am...
UNITE!
evolution
Naturally
NEVER EVER
still alone
M
Endless sorrow
Heartplace
Dolls
Close to you

She co-wrote the music to these songs with DAI:

Daybreak
Dearest
no more words
Free & Easy
HANABI
July 1st
Voyage
independent
HANABI~episodeII~
theme of a-nation'03
forgiveness