Generally, if there is no response to the petition, the Court will in almost all the cases, deny cert.
This is where I had a problem.
In all the cases that I've watched, shortly after the filing of the waiver to respond, there is always an order "inviting" a response by a particular date. My understanding of this is that one (or perhaps, more) of the Justices is slightly interested. Inviting a response does not indicate that cert will be granted. It merely moves you out of the immediate path for a denial (which can still come later).
In this instance, an order was not issued. The docket simply extends the time for a response. Searching the various orders of the court, turns up nothing that pertains to this case.
My thinking is that this is one of the clerks doing the "inviting." Hence my improper use of the term, sua sponte.