No, they're in. About 470 properties border or sit near NPS land (parks, monuments, recreation areas, lakeshores), e.g. a few along the edge of the Smokies. You're right that the headline copy only mentions national forest, BLM and state land, so that's misleading; I need to update the wording. The map's land-type filter has a "National Park Service" option if you want to see just those.
I don't see a single national park in California or Utah on those states' maps.