Interesting same problems here with multiple headsets.
I have an MPOW 456A BT 5.0 adapter, MPOW I19 IPO that work perfectly in both Skype/Teams and Windows Audio. I also have a TPLink BT 4.0 UB4A and that works perfectly but NOT for audio/mic at the same time. So its not the adapters/drivers as such.
I really wanted the 65hrs upgrade of the MPOW-059 headphones which are touted as an upgrade to the I19, also looked at the Anker multipoint headphones on Amazon. Neither worked in any shape or form, exact same problems as described here making them useless and it makes me wonder why they sell them as Skype/comms capable?
I have literally wasted a solid 8 hours trying different drivers, disabling/enabling, tweaking, I even managed to find some Windows 10 rated drivers for the Realtek 8761B chipset, which work really well and i think seem better than the MPOW ones which were last updated 2018. But again no fix. Windows is fully updated to 2004, all drivers are fully updated.
So in short the MPOW I19 IPO BT 5.0 work but the MPOW-059 BT 5.0 don't so very strange indeeed! PS: I used the exact same BT dongle and drivers for both headsets?!