I agree with your comments Belgarion. I too spent some time reading the relevant parts of the ConCourt rules and Constitution.
To date, the only criminal law expert Ive found who has mentioned a direct approach to the Chief Justice is Llewellyn Curlewis, who I might add has made a number of incorrect predictions in this matter. He said,
that if the Constitutional Court refuses to hear OPs appeal he may approach Chief Justice Mogoeng directly and ask him to reconsider.
It would be strange indeed if the ConCourt Judges ruled against the application and then that same courts Chief Justice reversed their ruling. One can only imagine what people would make of that. I dont see that happening at all.
http://www.rdm.co.za/politics/2015/12/09/why-oscar-s-appeal-to-the-constitutional-court-will-fail
Barry Roux told Deputy Judge President Ledwaba that if an application for leave to appeal was unsuccessful, he would return to the high court for sentencing.
I read on this forum that the CC may take several weeks to make a decision, but Ive also read somewhere that it could take 3-4 months. Im hoping they make that decision prior to the commencement of the sentencing hearing.