I have always connected my ps4 controller via cable and has also worked, but lately i use it via bluetooth and it also connects.
I can also use it in Steam's Big Picture Mode but it's not recognized in Rocket League. Have also activated the Ps4 configuration support of Steam but it does not work.
In general, this does not work with normal Bluetooth dongle on PC, at least for many games not, you really roar the special of Sony
DualShock 4 USB Wireless Adapter https://www.amazon.de/...01KHFIO82/