I spend way more time thinking about this topic than is healthy.
Skating street, in the streets, is significant because it is the reinterpretation of architecture for purposes it wasn't designed for. It is an interaction with your surroundings and a manipulation of an environment for your own entertainment.
Street and park is like seeing a animal in the wild vs in a zoo.
For those of us that grew up in the mid-90s, when there weren't skateparks (other than the rare woodenindoor parks and a few concrete ones). Street skating was skating for the most part. Sure, there might be a ramp in someones yard, but if you wanted to skate, you go downtown and dodge security. Even growing up in a small city in CT, I look back astounded by how many great street spots we had to choose from. This was before skatestoppers were invented.
As time moved on and parks became more abundant, with street spot supplies getting low, I think it is fine to skate parks. Skate where you can and what's fun. As a middle aged man just trying to get some movement in, I'm not really about getting chased out of spots or getting yelled at by security (and most of the low ledges in town have long been blocked). The lack of "hassle" at parks is hugely appealing, scooters and crowds aside.
Nothing wrong with skating a park. But when it comes to filming, parks are for practice so you can later get the trick at a real spot. For a skater to film a part at a park... nah. Except for those rails behind Saw Con.