Quick aside: there are a lot of wireless headsets that simply suck on MacOS. I have a pair of Sony XM4s that I can run with 990kbps audio on Linux that are stuck at 330kbps, barely connect half the time and auto-open Apple Music every time they connect for some godawful reason. I think Apple's desktop audio experience is getting really so-so. Pretty much their only advantage is CoreAudio at this point, and even that's shaky when you compare it with the likes of PipeWire...
Gotcha. I’ve not tried that many either, and occasionally it took some wrangling, but it’s always worked. (Also I may be forgetting a time when I tried but succeeded using something besides Bluetooth)