IME, only a tiny minority of students ever do that much due dilligence. Most call or walk in, and make a decision based on what they see and hear - often based on too little knowledge to make the decision they need to make.
Yeah, most parents just want their kid to do martial arts because they want their kid to have more confidence and get some exercise. They don't know Taekwondo from karate, nevermind KKW from ITF.
I will say we do sometimes get a new student who studied KKW TKD before and wants to continue that. And we get some Korean-American families who want their kid to learn KKW TKD for cultural education type reasons. But those are the only times people ask about what kind of TKD we do.