No I don't believe there are any similarities other than Hall and JB were adopted. You could probably take any two crimes and find such a similarity.
JB's case is unique in British criminal history in that it is the only peacetime mass shooting unwitnessed by numerous others.
Hall's case was routine either burglary that went wrong and/or some sexual motive.
https://youtu.be/EKhVSkZXrhYThere are a lot of similarities between Bamber & Steve Benson -
Both Inheritance killers.
Same year.
Benson also tried to kill his sister.
Benson also tried and succeeded in killing another relative.
Benson tried to look upset at the televised funeral.
Benson's mother had found out Benson had been committing financial crimes against her.
Benson's mother was also considering disinheriting him.
The jury reached a verdict quickly.
Benson tried to blame other people for the crime. But unlike Bamber, was very vague about who.
Benson also wanted to live beyond his means. And did not like having to depend on his mother.
Benson did not like the controlling influence his mother tried to exert.
A bomb caused the deaths of Bensons family, Benson being the number one suspect. But Benson may have had the same view as Bamber after robbing the caravan site - 'they will never be able to prove it'.