Is the circle of fifths misnamed?
The circle of fifths would actually seem to be a circle of accidentals with zero accidentals at noon while a circle of fifths would seem to start at F as the set of diatonic note names begins with F, being F,C,G,D,A,E,B.
F(flat),C(flat),G(flat),D(flat),A(flat),E(flat),B(flat) followed by...
F,C,G,D,A,E,B followed by...
F#,C#,G#,D#,A#,E#,B# ... followed by double sharps
... (and double flats to the 'left' of the flatted set but I couldn't format it to look understandable).
Furthermore it seems a 'circle of fifths' is not strictly possible as a circle of fifths would not use enharmonic equivalents and instead spiral off from B to F# to C# to G#, etc., instead of B to F#/G(flat) to C#/D(flat).