I'm currently a senior in college. If asked during high school, I would have said exactly what your daughter said, except with Facebook messages replacing SMS.
At my college, all organization of student groups happens over email. I very quickly went from receiving <1 email/day during high school to receiving ~20 emails/day in college. Exposure to this mailing list culture at college (and also at during internships in industry) has made me an email person. I typically don't send short emails (~2 sentence) for social messages (I use Facebook for that), but if I need to send a paragraph to someone I do it over email. My group of friends splits our planning of events 50/50 between email and Facebook messages.
I'm not sure if this is just at the college I attend or if its a more general phenomena.