For me the update to 11.2 Beta 1 was enough to fix all BT issues. If you want to get the issues fixed right now, feel free to upgrade to 11.2 Beta 1 right away. It's running rock-solid like most macOS Beta versions do. I am running on Beta releases for two years now, most of that time on a hackintosh. The only major issue I've had during that time was Apple killing H.265 hardware acceleration two times. One time they did in Mojave, a second time in Catalina. Anyways, nothing is broken on 11.2 Beta 1, so you will be fine using it until the release of 11.2.
If you want to enroll for beta releases you can run this in Terminal:
Developer Beta Releases
Code:
sudo /System/Library/PrivateFrameworks/Seeding.framework/Resources/seedutil enroll DeveloperSeed
Public Beta Releases
Code:
sudo /System/Library/PrivateFrameworks/Seeding.framework/Resources/seedutil enroll PublicSeed
Going back to the stable release channel is possible with one click inside the system update preference pane.
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