The data is so sparse that we have no idea if the kids were indeed the critical factor, or if they were completely irrelevant and the change was due to something else entirely. It doesn't really read as a hypothesis with statements like "People without kids were largely unaffected."
On a somewhat different note, it may not be the same there, but around here (Fairfax County, near DC), school opening times are staggered fairly substantially in order to make better use of the bus fleet. Schools here start anywhere from 7:10AM to 9:20AM. This will also spread out car traffic, not that the school district does that intentionally.