I had a similar experience with completely different equipment (hearing aids and computers).
I have Oticon OPN S 1 with a work MacBook Pro and a home iMac Pro. I have to use an Oticon intermediary device (ConnectClip) with the computers but not with an iPhone as the aids are MFi. The ConnectClip just worked with the MacBook Pro and failed miserably with the iMac Pro (both have Bluetooth 5.0 according to Apple). Oticon had sent a Sennheiser BTD 800 USB bluetooth dongle with my ConnectClip - Oticon Tech support told me to use that with the desktop. Works with that - I do have to make sure the BTD 800 is selected as the audio output device. They told my provider and I that many desktop Bluetooth implementations were either buggy or incomplete and the Sennheiser was the fix. Sennheiser provides firmware updates (has to be done in Windows) for the device and, for me, it “just works” unlike the built-in Bluetooth in the iMac Pro. According to Sennheiser, the dongle supports audio only and it implements the various Bluetooth profiles that would be useful for streaming audio and operating as a headset. They provide it with their higher end headsets for use with PCs in teleconferencing and call centers, etc.
Good luck - Bluetooth can be a mixed bag and frustrating at times