I've noticed some trends among people that avatarfag with Lucky Star characters. People with certain personality/behavioral traits tend to gravitate towards certain characters. This is what I have observed.

Konatafags:
-The most common type of LS avatarfag
-Generally male, predominantly heterosexual
-Very low intelligence
-Is a pedophile
-Poor hygiene and living conditions
-NEET, hikikomori or freeter
-Either underweight or obese

Tsukasafags:
-Male, predominantly homosexual (but may hide this fact)
-Submissive bottoms
-Enjoy crossdressing
-Shy
-Very intelligent, but don't make it a point of pride or let it go to their head
-Often struggle with issues such as anxiety, depression, OCD and autism

Kagamifags:
-Predominantly female
-Lesbian
-A little stuck up
-Always gets their way, often coming off as pushy or rude

Miyukifags:
-Rarest LS avatarfag
-May be male or female
-Mature and grounded
-Trustworthy
-Good listeners
-Gentle and kind

Yutaka and Akirafags:
-Chronically silly
-Can't take anything seriously
-Was probably molested as a child
-Reliant upon humor to cope with suffering