There are other people who can't make heads or tails out of a keyboard, compose a tune in their head, or understand chordal progressions, but nevertheless compose music in layers and still do extraordinary work. They find what they like by playing with notes on the screen. Joel Zimmerman, a.k.a. Deadmau5, is an example of this.
I am an example of the former, with natural ability, bolstered by training in music theory. But I still use a layered approach when I am composing, generally starting with a beat or bassline, playing with melodic progressions in snippets, and eventually moving into a traditional composition process when I have something started that I like. Ableton makes this process extremely easy and productive.
But I think melodically and tend to do a lot of counterpoint. Getting the chords out of my head and onto the screen is often the last thing I do. I don't know how well his approach would work with counterpoint, since counterpoint often creates and resolves dissonance using passing tones in double time.