The lawyer representing the other two schools, Christine Chilwell, applied for permanent name suppression for her clients in Auckland District Court today.
Judge Allison Sinclair reserved her decision until next month.
An alias Miki used will also remain suppressed until at least then.
Miki was convicted in 2004 on three counts of indecent assault and allegedly evaded arrest until late 2009.
In 2010 he was issued with a renewed supervision order but it appeared he trained as a teacher, obtained provisional teacher registration under a new name until August 2013 and managed to secure teaching positions.
In his last role he taught five and six-year-olds.
He was arrested in February this year for breaching his extended supervision, which prohibited him being around persons under 16.
The case has sparked a ministerial enquiry.