It depends on what people class as a psychopath. Everyone will have different views.
Bamber was an Inheritance killer. Although there were lots of other motivational factors. There have been lots of 'Inheritance killers', I do not recall any of them being called a psychopath. Although Bamber's killing was especially gruesome.
If people class people like Peter Sutcliffe & Robert Napper as a psychopath, then Bamber was not one. Although pre trial an expert hired by the defence said he was a psychopath.
It is not really that important in my view. There was a motive, opportunity and no alibi. The circumstantial & forensic evidence leads straight to Bamber.