I can also confirm the issue. I tried using latest kernel 6.8.2.arch2-1 on arch linux, and also LTS version 6.6.23-1 and on both I see same behavior.
$ lsusb | grep -i bluetooth Bus 001 Device 004: ID 8087:0029 Intel Corp. AX200 Bluetooth
The behavior is exactly the same as other described.
I can also confirm the issue. I tried using latest kernel 6.8.2.arch2-1 on arch linux, and also LTS version 6.6.23-1 and on both I see same behavior.
$ lsusb | grep -i bluetooth
Bus 001 Device 004: ID 8087:0029 Intel Corp. AX200 Bluetooth
The behavior is exactly the same as other described.