I don't have a PS4, so I can't test this specifically.
In my case, the hub is connected to a Windows 10 PC and what I can say is that I can operate both an external HD and the Bluetooth mouse receiver and a few sync cables to mobiles in parallel and cannot detect any differences in performance compared to the direct UDB connections of the PC.
It's actually the first hub I have where I could also plug in the mouse receiver, otherwise the mouse only ever worked satisfactorily when connected directly to the PC.