Wired is typically always better/recommended. BT is convenient, but not optimal... no matter the DAC.
IMO, try the phone to the receiver. If it sounds good. Enjoy. If not... try an external DAC.
As to the audible benefit(s) by adding an external DAC?
Some say it's worth it.
Some say it's a wasted expenditure.
Only you can determine what sounds best to you. Don't get hung up on internet discussions.