Yeah, I've never seen any animosity between Namie & Ayu in the past; probably another tabloid-fueled rumor
And
isaac_hiew is right; Ayu and Mochida Kaori do seem pretty friendly. I don't think I've seen Ayu interact in a friendly manner with anyone else famous besides Utada Hikaru, Mochida Kaori, KEIKO and Gackt but then again I haven't seen every Ayu video in existence XD;