Sticking with "Pinocchio" then,

"When You Wish Upon A Star" is   a "twee" song
but
Jiminy Cricket, the character who sings it,
is maybe not as "twee" as the song -- ?


And in the first classic "Jungle Book" musical animated film,

"The Bare Necessities" could be twee
but the singer whose voice is Baloo is sophisticated enough
to interpret the song without going over the top.
(I always forget the singer's name. Phil somebody?)