USB-C UFP and DFP Not Working Properly with ONLY Samsung Mobile Phones
However, the 56k pull-up obviously needs to be there for safety,


No, this is not how it is intended to work. It is either pull-up, or pull down, which determines the role of Samsung port. "Safety" has nothing to do with this.

If you have a cable (or device) with 56k Rpu, then the port identifies the plug as other USB host (with standard default power capability). The phone will behave as a device, sinking power from VBUS and possibly charging itself.

If you have the cable/device with 5.1k pull down, the phone port with identify the plug as peripheral USB device, and will supply VBUS.

You can't have both Rpu and Rpd on the same pin at once, it will be confusing for the phone.