Topic: Open-back or wireless headset for utilization of Tempest?

I've scoured the internet for answers to the best headset on PS5. Pulse 3D for compatibility, 7p for less compatibility but better, and the Black Shark V2 Pro for less compatibility but best. I checked and checked to see it would compatible with the Tempest Audio, wirelessly, but was met with mixed opinions and no real facts, so I purchased the V2s, yeah, they sound real nice, but can only utilize Tempest via connecting to 3.5mm, or USB, which kind of defeats the purpose of having wireless headphones. Wirelessly, they have a punch, but wired, they have little less of a punch, but I could recognize that pinpoint 3D in Demon's Souls

So damn, do I keep them and hope that 3rd Party support comes? Or is wireless Tempest limited only to the Pulse 3D? If that's truly the case, I should've invested into a nice wired Open-Back headset. With that, what Open-Back headset would you recommend,? My budget is $250 and I'd willing to invest into a Moda Mic.

Any and all information is highly appreciated.