4.00 update added support for wireless USB headsets (such as the PlayStation ones)! : r/NintendoSwitch
Amazon.com: Poly - Voyager 4310 UC Wireless Headset (Plantronics) - Single-Ear Headset w/Mic - Connect to PC/Mac via USB-A Bluetooth Adapter, Cell Phone via Bluetooth - Works with Teams (Certified), Zoom &
Amazon.com: daily headset QD USB Phone Headset Adapter Cable Compatible with Plantronics Quick Connect, Spk Volume Up Down Mic Mute Unmute in-line Controls : Electronics