As some ppl here suggest the murders were not executed by a professional. I’m sure Talwar is not meant to be a professional.
The signs that the throat was slit and killer going to the extent of finding the blood vessels to make certain death points to the handiwork of a ‘learned’ killer.
A line of reasoning; Hemraj friends (if they were the supposed killers) wouldn’t have gone to the extent of bludgeoning Arushi/Hemraj’s head with a hammer before slitting the throat and then taking time finding the blood vessels to confirm death and finally taking an escape route. The primary objective of a killer would be to run away from the place of crime asap.
Circumstantial evidence – Rajesh Talwar hands-in-glove with one of Hemraj’s friend who used the hammer and Dr Talwar confirming death but the motive is baffling.