I'm no expert on the area however, it's not wilderness area, this is the channel coast, the navy has a firing range next to Lulworth Cove and there is a stack of rusting wrecks just off the coastal path... people just don't like the aesthetics for less than rational reasons but each to their own.
It's also adjacent to one of the world's busiest shipping lanes, and several of the UK's busiest ports. I visit the area often, and while the area is beautiful, the horizon is always full of ships. Some wind turbines will make no difference.
