Technically, Galadriel, Radagast, and Legolas don't appear in the Hobbit book either (though Radagast is mentioned once), so if those two groups are moved then for the sake of consistency, these three groups should also probably be moved to LOTR - books or Hobbit movieverse:
However, I don't personally see it as a problem if they stay under Hobbit books, if people are intending to write or request a bookverse version of the characters.
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Galadriel | Artanis & Gandalf | Mithrandir (Hobbit - book)
Gandalf | Mithrandir & Radagast | Aiwendil (Hobbit - book)
Legolas & Thranduil (Hobbit book)
However, I don't personally see it as a problem if they stay under Hobbit books, if people are intending to write or request a bookverse version of the characters.