By the way, how did Nozomi get placed in "Pure" by SIF?
Smile seems to be designated as the energetic playful cuties so you have Rin, Honoka, Nico (aka the San Baka) for µ's and Hanamaru, Chika, Mari for Aqours.
Cool is definitely the cool, mysterious and elegant types like Maki, Umi, Eli for µ's and Yoshiko, Riko, Dia for Aqours.
Pure seems to be reserved for shy, innocent, motherly types such as Hanayo, Kotori, Nozomi for µ's and Ruby, You, Kanan for Aqours.