those with USB dongle won't give you true surround
all are simulated surround at best
most non-Sony brand wireless headset are only stereo

you'll need those that comes with the optical dock for true surround experience.

so those sony playstation headsets are simulating surround from stereo source?
Always thought the headsets had proper surround (never tried them myself, though)
yes, it will process surround from the optical connection.

I'm using the GameDac myself, paired with a Sennheiser HD598, works very well...Play Rainbow 6, Titanfall 2 with it, love the surround.

It isn't particularly powerful though, as it won't provide enough power to use my Hifiman HE400s (Sound is damn low vs the HD598 which is much much louder)

bluetooth doesn't support surround, will be stereo only

and worst of all is the audio lag, depends on the BT transmitter and your BT headphone used, some games are unplayable especially those heavy on audio cue

if really wanna use BT, look for those aptX Low Latency certified/compatible sets

that's why you don't see any BT headset for consoles

I used one for movie watching, even with aptX LL, the lag is still noticeable but bearable, compare to the non aptX sets which are horrible for both gaming and movies

TL;DR  Bluetooth are only good for musics, not gaming nor movies