Not the original complainer, but that looks quite sterile to me. Apart from the trees there's very little vegetation, beyong the odd fern - no moss, no rotting logs, no undergrowth or leaf-mold floor. It doesn't look moist enough. Just dry, dusty dirt.
Those are paths people walked on. Since there’s a lot of foot traffic they’re wider than regular forests.
But yeah, it’a city forest. Not the same as wild, but more forest-ty than the discussion implied I think. Most visitors only see the south park of central park.