No. Everyone shows up at my local parks: courthouse, stoner, Venice, the Cove.
That said, The Cove is definitely the whitest of them all especially in the younger crowd; I chalk it up to the Karen's wanting their kiddos at a park that has an attendant (which the cove does as you have to pay to skate there) and they can just ditch the kid while they go sip mimosas on the weekend knowing the groms are 'caged in' (which you are as the park is fenced).