Here are the possible solutions for trait inconsistent with this puzzle's theme clue
Answer
Clue
Relevancy
dishonesty
Clue
Trait inconsistent with this puzzle's theme
Definition
lack of honesty
longa
Clue
Trait of "trait"
Definition
(Latin) a long note
info
Clue
Theme word inside this puzzle's theme words
Definition
(short for) information
lllllllllllllllllllll
Clue
Much of the Smurfs' theme song, and this puzzle's theme
rawhide
Clue
Classic TV theme song covered by this puzzle's theme duo
Definition
to beat with a type of whip
four
Clue
Number of times this puzzle's theme word appears diagonally in the grid (to complete the puzzle, shade those words plus the Down answers that begin where they meet)
Definition
the cardinal number next above three
skewedtooneside
Clue
Like this puzzle's theme, to solvers concerned with puzzle symmetry?
wordladder
Clue
Puzzle invented by Lewis Carroll (and a hint to this puzzle's theme)