The supermarket worker was fatally bashed in retaliation for an alleged rape.
The other two men convicted of Mr Jones' murder, Hayden Ranson and Matthew McKinney, did not lodge an appeal.
Justices John Wild, Stephen Kos and Patrick Keane reduced a concurrent sentence for aggravated burglary from 10 years to nine years for Tariana Jones, due to her "mitigating personal circumstances".
Counsel for all three appellants argued the trials should have been separated, with Miller tried alone and Tariana and Kristofer Jones tried in conjunction with Hayden Ranson, leaving Matthew McKinney to be tried alone.
Miller's lawyer, Nicolette Levy, argued the video statements made by the other accused were highly prejudicial and that the evidence of the violence was irrelevant to the aggravated burglary charge her client faced.
However, the court discounted this ground for appeal, stating that as no application for severance of the trials was made beforehand, it was "obviously a deliberate strategic decision".
Ms Levy also argued the Crown marking Tariana Jones as the key instigator with requisite murderous intent was not proven by the evidence and the murderous intent was really among the men.
However, the justices found the evidence was appropriate.