As adjectives the difference between incurious and unenquiring
is that incurious is lacking interest or curiosity; uninterested while unenquiring is not enquiring; incurious.
incurious
English
Adjective
(
en adjective)
Lacking interest or curiosity; uninterested.
apathetic or indifferent.
unenquiring
English
Adjective
(-)
Not enquiring; incurious.