Bluetooth was a replacement for infra-red controllers. (There was actually a better solution at the IEEE but BT won because of the companies that came up with it) Bluetooth is to USB is to Ethernet. Folks don't run data centers on Bluetooth and USB.
The Cirrus chip that powers your headphones, at least in an iPhone 6 and 6S, has lower noise and distortion than the digital interface even if you plug "colorful bugs" into it.. Plus, these "bugs" do not bypass the 44.1K limit Apple for one has placed on their devices although now they can unfold Stuart's latest marvel I am told. Sneaky.
However, you can load and download 192k/24 bit files, etc., via wifi to your phone and then play them back bypassing the dumbing down digital circuits using the $30 Apple Camera adapter. You then plug your interface(s) into it for true hi rez sound to your headphones. YMMV.