I don’t know whether it would work… I thought a while back that if I had to do this, I would try the Eartec wired Intercom adaptor (~$215). Eartec makes it to go from a wired intercom (RTS, Clearcom, Telex, etc) to the headphone jack of one of their wireless beltpacks (which use a single 2.5mm or 3.5mm plug headset plug (I’m not sure which)). I would guess that with a breakout adapter cable it would probably plug into the ATEM Camera Converter/Studio Converter.
Adaptor:
https://eartec.com/SLTalk%20Interface/sltinterface.html
https://www.bhphotovideo.com/c/product/723694-REG/Eartec_SLT_INT_SLT_INT_Wireless_to_Wired.html
Adaptor Plug (3.5mm or 2.5mm)
https://www.amazon.com/GTMax-Headset-Adapter-Smartphone-Converts/dp/B0046FMRGA/ref=pd_cp_e_1
https://www.amazon.com/2-5mm-Mobile-Headset-To-Converter/dp/B000IZCUTQ
–Scott