Central Park isn't wild. I replied to someone who said we need more wild areas. I'm all for parks.
There is a huge gradation of "how wild".
Central park is way more wild than a playground, which is way more wild than a city street corner.
The Yosemite National Park front country is way more wild than Central Park.
The federally-protected wilderness areas, where it is illegal to use a chainsaw for trail management as that is not sufficiently wild, in the Sierra Nevadas are even more wild, but still have a ton of people, trails etc.
The Brooks Range in Alaska is yet even more wild - no/few trails, take a bush plane in/out, etc.
Allowing a bit more wilderness is always a utility - it doesn't have to be binary wild/not wild (and very little land habitable by humans has ever not been severely influenced by humans)