John Dickerson hypothesizes that capturing the moment and living in the moment are not mutually-exclusive ideas:
“It's also true, though, that for some people, talking too much or taking a thousand photographs is the way they experience the world. They are not interested in your Zen moments. A life of frantic self-interruption may be their therapy.”
Although I do appreciate having those "Zen moments" myself from time to time, I never feel like I'm missing out on something just because I've taken out my iPhone to film or photograph it. Capturing these moments allows me to later revisit and relive them all over again, and I think that's just as valuable as the memory itself.