question: Did Sir Edmund Gardner feature Sherlock Holmes arch enemy more or less than Sir Arthur Conan Doyle?
answer: three continuation novels containing Sir Arthur Conan Doyle's fictional villain,
context: Title: Sherlock Holmes: A Game of Shadows
  Passage: Sherlock Holmes: A Game of Shadows is a 2011 British-American period action mystery film directed by Guy Ritchie and produced by Joel Silver, Lionel Wigram, Susan Downey and Dan Lin.  It is the sequel to the 2009 film "Sherlock Holmes", and likewise features the Sherlock Holmes and Dr. John Watson characters created by Sir Arthur Conan Doyle.  The film's screenplay was written by Michele Mulroney and Kieran Mulroney.  Robert Downey Jr. and Jude Law reprise their roles as Holmes and Watson, and were joined by Noomi Rapace as Simza, Stephen Fry as Mycroft Holmes and Jared Harris as Professor Moriarty.  The film follows an original premise incorporating elements of Conan Doyle's short stories "The Final Problem" and "The Empty House".  In the film, Holmes and Watson travel across Europe with a Gypsy adventuress to foil an intricate plot by their cunning nemesis, Professor Moriarty, to instigate a war.
  Title: The Return of Sherlock Holmes (1929 film)
  Passage: The Return of Sherlock Holmes is a 1929 American Pre-Code mystery film directed by Basil Dean and written by Arthur Conan Doyle, Basil Dean and Garrett Fort.  The film shares its title with the third volume of the Sherlock Holmes stories, "The Return of Sherlock Holmes" by Arthur Conan Doyle.  The film stars Clive Brook, H. Reeves-Smith, Betty Lawford, Charles Hay and Phillips Holmes.  The film was released October 29, 1929, by Paramount Pictures.  A copy is held at the Library of Congress.
  Title: Professor Moriarty
  Passage: Professor James Moriarty is a fictional character and the main antagonist in some of the Sherlock Holmes stories written by Sir Arthur Conan Doyle.  Moriarty is a criminal mastermind whom Holmes describes as the "Napoleon of crime".  Doyle lifted the phrase from a Scotland Yard inspector who was referring to Adam Worth, a real-life criminal mastermind and one of the individuals upon whom the character of Moriarty was based.  The character was introduced primarily as a narrative device to enable Doyle to kill Sherlock Holmes, and only featured in two of the Sherlock Holmes stories.  However, in many adaptations, he has been given a greater prominence and treated as Holmes' archenemy.
  Title: Sherlock Holmes and the Secret Weapon
  Passage: Sherlock Holmes and the Secret Weapon (1942) is the fourth in the Basil Rathbone/Nigel Bruce series of 14 Sherlock Holmes films which updated the characters created by Sir Arthur Conan Doyle to the present day.  The film is credited as an adaptation of Conan Doyle's short story "The Adventure of the Dancing Men," though the only element from the source material is the dancing men code.  Rather, it is a spy film taking place on the background of the then ongoing Second World War with an original premise.  The film concerns the kidnapping of a Swiss scientist by their nemesis Professor Moriarty, to steal a new bomb sight and sell it to Nazi Germany.  Sherlock Holmes and Dr. John Watson have to crack a secret code in order to save the country.  The film is one of four films in the series which are in the public domain.
  Title: The Adventure of the Gloria Scott
  Passage: The “Gloria Scott”, one of the 56 Sherlock Holmes short stories written by British author Sir Arthur Conan Doyle, is one of 12 stories in the cycle collected as "The Memoirs of Sherlock Holmes".  It is chronologically the earliest case in Sherlock Holmes canon.  This story is related mainly by Holmes rather than Watson, and is the first case to which Holmes applied his powers of deduction, having treated it as a mere hobby until this time.  This is one of the two Sherlock Holmes stories in which a protagonist is haunted by an old acquaintance for an old crime.  The other is "The Boscombe Valley Mystery."
  Title: The Adventure of the Empty House
  Passage: "The Adventure of the Empty House", one of the 56 Sherlock Holmes short stories written by British author Sir Arthur Conan Doyle, is one of 13 stories in the cycle collected as "The Return of Sherlock Holmes".  Public pressure forced Conan Doyle to bring the sleuth back to life, and explain his apparently miraculous survival of a deadly struggle with Professor Moriarty.  Doyle ranked "The Adventure of the Empty House" sixth in his list of his twelve favorite Holmes stories.
  Title: Dead Man's Land
  Passage: Dead Man's Land is a book by Robert Ryan, based in World War I.  It involves Sherlock Holmes' sidekick, Dr. Watson (created by Arthur Conan Doyle).  It is fully authorized by Conan Doyle Estate Ltd. "Dead Man' Land" has been written under license from the Sir Arthur Conan Doyle literary Estate
  Title: The Red-Headed League
  Passage: "The Red-Headed League" is one of the 56 Sherlock Holmes short stories written by Sir Arthur Conan Doyle.  It first appeared in "The Strand Magazine" in August 1891, with illustrations by Sidney Paget.  Conan Doyle ranked "The Red-Headed League" second in his list of his twelve favourite Holmes stories.  It is also the second of the twelve stories in "The Adventures of Sherlock Holmes", which was published in 1892.
  Title: Sherlock Holmes (2010 film)
  Passage: Sir Arthur Conan Doyle's Sherlock Holmes, also known simply as Sherlock Holmes, is a British-American 2010 steampunk mystery film directed by Rachel Lee Goldenberg and produced by independent American film studio The Asylum.  It features the Sherlock Holmes characters created by Sir Arthur Conan Doyle, though it follows an original plot.  The film details an unrecorded case in which eccentric detective Holmes and his companion Dr. Watson investigate a series of unusual monster attacks and a plot to destroy London.  Gareth David-Lloyd plays Dr. John Watson and Ben Syder, making his film debut, plays Sherlock Holmes.
  Title: John Gardner (British writer)
  Passage: John Edmund Gardner (20 November 1926 – 3 August 2007) was an English spy and thriller novelist, best known for his James Bond continuation novels, but also for his series of Boysie Oakes books and three continuation novels containing Sir Arthur Conan Doyle's fictional villain, Professor Moriarty.
citations: John Gardner (British writer) Professor Moriarty