You can follow the progress for the publication of this translation on Sutta Central in this thread: https://discourse.suttacentral.net/t/notes-on-the-segmentation-of-pali-vinaya-with-brahmalis-translation/10665/517 As to any intention to publish in book form, it would be best to ask Ajahn Brahmali about that - I have no idea.
The only intervening text is:
“They told the Master and he said:”
“The third section for recitation”
Right.