Reconnect PS4 / 5 controller to PC automatically?

I have connected my PS4 controller to my PC, but every time the controller or PC was off, the connection is logically disconnected.

In the Windows Bluetooth settings it is shown as paired, but when I switch on the controller, it does not reconnect to the PC. I first have to decouple it from the PC and reconnect it to the PC.

Is there a possibility that the controller will reconnect to the PC by itself, since it is actually linked to it? Or do the PS5 controllers have such a function?

If you do it with cable, the response is better and you never have problems with connections again