Part of the message is that there aren't enough pre-K seats to fill the demand. And, as one parent points out, "the lottery is not the problem, the problem is that there are bad schools."
Here are the articles so far, in reverse order of appearance (I make a 45 second appearance in the video in the "Relief..." story, starting just about minute 1:15...and then again for a moment right at the end, at 5:20):
Boston public schools’ lottery, a system designed to distribute students without bias, can inevitably cause divisions among winners and losers.
The lottery assigning kindergartners to classrooms is designed to be fair, but with too few good schools to choose from, too many opt to leave.
In the Boston public schools, kindergarten registration can be a saga that plays out from the time a child is 3.