How to choose?
Do school districts choose today's school system?
Not really.

For most districts it was never really a decision — it is simply the way things have always been done, ever since today's school system took shape around 1913.

The full story is worth knowing. Educators didn't so much adopt this model as inherit it: they were pressed to run schools on a factory-floor production method devised by Frederick Winslow Taylor. Raymond E. Callahan lays it out, blow by blow, in Education and the Cult of Efficiency.
Choosing knowledgeably
To choose today's school system on purpose — you first have to understand what it actually is.
The same holds for the Lead Out Method: choosing it means knowing exactly what you are taking on.
So look at both. Begin with Today's school system, and then, if you choose, explore the Lead Out Method.