John Cooper, who was convicted in May 2011 of killing four people in Pembrokeshire in the 1980s has had his application to appeal the convictions rejected.
Cooper's legal team had previously claimed the jury that convicted him last year was 'profoundly misdirected' and that there was 'clear room for confusion in the jury's mind' during the trial.
His barrister questioned the comparison of how he looked in the 'Bullseye' programme footage with an artist's impression of the suspect in the killings of Peter and Gwenda Dixon.
Two of Wales's most notorious murderers, John Cooper and John Pope have had their appeals dismissed.
John Cooper will find out if he can appeal his life sentence for four murders in Pembrokeshire in the 1980s.