"It focuses their investigation, because Teina Pora was a red herring, right from the start," said Burdett.
"The red herring is no longer there, it must change [the police] perspective on things."
Asked whether he meant the focus should switch to Rewa, Burdett said: "Obviously".
"We know he was there. My understanding is that's what bothered the juries about convicting Malcolm Rewa. They couldn't make sense of it. It was almost as if my sister had been raped by Malcolm Rewa, he left, then Teina Pora killed her. It's bizarre."
Police have refused to act and say fresh evidence is needed to reinvestigate any historic case.
Tim McKinnel, the former police officer who took up Pora's case more than four years ago, wants Rewa retried.
He said the fact that the Privy Council found Pora may have suffered from a miscarriage of justice was "important new evidence in the scheme of this case".
The inquiries that freed Pora had also unearthed new evidence about Rewa, said McKinnel, which would form part of any submissions made on his behalf for government compensation.
"I find it troubling that the police and Crown Law appear to have formed a view without a full and proper inquiry into all the facts."
He also pointed to the expert opinion of Dave Henwood, an award-winning police criminal profiler, whose evidence helped convict Rewa as a serial rapist.
In his opinion, Rewa acted alone in each of the rapes he committed and similarly murdered Burdett by himself.