The JWST is on a similar level of impressive (if not more), and arguably more important than a single moon landing, and the general public doesn't have much interest in that either.
To defend the general public, landing an unmanned craft on the moon just doesn't sound impressive anymore, it's like SpaceX landing their boosters. The first time it's mindblowing, the Nth time, not so much.
EDIT: And for JWST for the average person it's just a new Hubble.
EDIT: And for JWST for the average person it's just a new Hubble.