That may have led them to pick up the series, but I doubt that they had anything to do with the way the documentary was produced. It was filmed and produced over a 10 year period starting shortly after Avery was arrested for the murder. I don't think Netflix commissioned the series...they just bought it when it was done.
I've read up on it a little bit, and there was some pretty damning stuff left out of Making a Murderer. There were sweat stains on the Rav4 hood latch and battery cable that matches Avery's DNA. There were also a series of phone calls from Avery's home phone to Halbach's cell phone with 2 using *67 to mask the caller's number before the murder, and one without using *67 after the murder to establish an alibi that Halbach never showed up to take the pictures of the van. I got the sense even while I was watching the documentary that it was horribly one-sided and leaving out some pertinent details. I'm not 100% convinced Avery didn't do it, but it was still some exceptionally shoddy police work.
Let's just say she manages to get more time...
