Yes, I do think it's rather twee-trendy. Also, I'm in the process of learning Dutch, and so I'm defaulting to the Dutch pronunciation which doesn't sound a thing like Skylar or Skyler (and now I can't bring myself to use the English pronuncation).
Sissy Spacek has a daughter named Schuyler, and I know several little ones named Skylar/Skyler. I just don't care much for it, I'm afraid.