You haven't explained why the measurements would vary. As i noted in the review, Aux input goes to the same pipeline as the digital input would. So your frequency response would remain identical which is the most important thing. As will distortion measurements.
You also have to explain to me how many games use Bluetooth for audio. My understanding is that the added latency is a killer there.
I guess we're not going to understand how they may vary until either you or someone else tests it. I know you have your own POV around who/how this headphone is likely to be used, but it's still an inconclusive review until the Mobius' main features are tested.
The frequency response itself may not change via USB or Bluetooth (in the single EQ profile that you tested, anyhow) compared to the analogue input, but the main thing that makes this headphone unique is its DSP capabilities. I would have thought that as a platform interested in audio + engineering that it would be worth exploring to see how DSP is used to change the sound of the Mobius. Does the DSP kick-in with a digital signal only? Is the analogue input a pass-through only? What are the different EQ profiles doing to the frequency response? I guess we won't know. It would also be great to know if distortion may reduce compared to using the onboard signal only.
The Mobius isn't designed to be a console gaming product (ie using the 3.5mm input), it's designed mainly for use with PC - that is, using USB. Its stablemate (the Penrose) is the console version.
The Mobius certainly can be a general-purpose listening headphone, and it's probably the best-tuned Bluetooth headphone that I've heard, with the best technicalities. Ultimately the comfort was a deal-breaker for me, however. I probably used it for 60% music, 20% gaming (yes, including via Bluetooth), and 20% movies.