Play PS4 lobbies on your PC with the PS4 Controller (Fortnite)?

I would like to know if if you connect your controller to the pc then you can also play ps4 or controller lobbies. I can only use pc lobbys.

Only PC lobbies.

1. Are there no PS4 lobbies.
2. When you connect your PS4 controller, you automatically play on servers where other players are also playing with controllers regardless of the platform.
3. Change leader does not incidentally bring anything.