No, we don't, the facts around that have been known for months now.
The headset remote control in the cable has a 3.5mm port for regular analogue stereo headphones or ear pieces. It does not output digital audio for your receiver, you can stop dreaming of what you described.
The point that many, many people don't get is, we humans only have 2 ears. If you put the sound directly to those, there is absolutely no need for more than one source for each. With quality headphones, this is the perfect solution for threedimensional audio! Every setup with multiple speakers around you are just means to approximate that, and far inferior to what PS VR will do to your ears.
The breakout box receives the sound data for each object in the virtual world that emits any, alongside its 3D coordinates. Every bird that cries, every t-rex that roars, every gust of wind, every splash of water, all seperately. It then applies psychoacustic algorithms to mix up the way that sounds would reach each of your ears in a natural way. It factors in your head orientation, because that is very well monitored by the system. You just can't have any better sound than that.
Everyone trying to do anything else than putting on headphones (or ear pieces) - no matter how hard you try and how many high quality audio equipment you wire up - is actually murdering the acustic immersion.
This is the basics.
To further extrapolate what virtual positional audio is and how it relates to how you hear things in real life and how it actually is a good option, I'll add how you process sounds in real life:
You cannot hear in 3D or surround. That's impossible with only 2 inputs.
Instead, what you PERCEIVE as direction is a combination of filtering, delay, diffusion, reverb, etc. As a sound from behind you sounds like it's behind you is due to how it bounces and diffuses with the environment around you before it hits your ears, of which, it will always hit ONE before the other. Your brain then places these sounds using spatial awareness.
The same sound will sound completely different in a cubed room with solid walls and no obstructions as the sound revolves around you - this happens via delay from reverb/echo, filtering by your body which absorbs and also deflects noise, audio traps in corners, cancellation as similar frequencies meet each other, etc.
Virtual surround/3D seeks to emulate this and can do so more accurately than a conventional surround setup with multiple speakers since most typical surround setups don't attenuate frequencies or use delay to enhance the audio - since the speakers exist in a room, the speaker placement and room handles this for you. While one might think this would be the way to go, I highly doubt your living room or viewing room is setup exactly like the starship you are on, the cave you are in, the deep sea dive you are doing, etc - the room characteristics will never change when the visual space will. This is where virtual surround beats out conventional surround - you can craft the audio engine for near perfect reproduction for geometry in-game which your living room can never do. Even if in-game audio is enhanced your room is just adding more color to it.
After gamimg on 7.1 and moving to headphones there is no going back, even virtual surround. There is zero competition in conventional systems when it comes to the spatial awareness afforded by headphones and even "decent" virtual surround.