Hello I believe this is the same problem (i took out all the plasma and networkmanager messages.
In short my jabra 65t looses connection after very short audio usage (and as a bonus kills my mouse as well if i use bt mouse) The jabra headset works fine with my phone(-s)

(uname -a
Linux linux-jn76 5.6.12-1-default #1 SMP Tue May 12 17:44:12 UTC 2020 (9bff61b) x86_64 x86_64 x86_64 GNU/Linux)

May 25 12:04:49 linux-jn76 kernel: input: Jabra Elite 65t (AVRCP) as /devices/virtual/input/input33
May 25 12:04:49 linux-jn76 obexd[2100]: CONNECT(0x0), <unknown>(0xff)
May 25 12:04:49 linux-jn76 obexd[2100]: CONNECT(0x0), <unknown>(0x0)
May 25 12:04:49 linux-jn76 obexd[2100]: SETPATH(0x5), <unknown>(0xff)
May 25 12:04:49 linux-jn76 obexd[2100]: stat(/root/phonebook/): No such file or directory (2)
May 25 12:04:49 linux-jn76 obexd[2100]: SETPATH(0x5), Not Found(0x44)
May 25 12:04:49 linux-jn76 systemd-logind[1161]: Watching system buttons on /dev/input/event19 (Jabra Elite 65t (AVRCP))
May 25 12:05:51 linux-jn76 kwin_x11[1876]: qt.qpa.xcb: QXcbConnection: XCB error: 3 (BadWindow), sequence: 4207, resource id: 2>
May 25 12:05:51 linux-jn76 kwin_x11[1876]: qt.qpa.xcb: QXcbConnection: XCB error: 3 (BadWindow), sequence: 4235, resource id: 3>
May 25 12:06:53 linux-jn76 kio_http_cache_cleaner[6486]: QIODevice::skip (QBuffer): WriteOnly device
May 25 12:06:53 linux-jn76 kio_http_cache_cleaner[6486]: QIODevice::skip (QBuffer): WriteOnly device
May 25 12:09:14 linux-jn76 kernel: usb 2-1.3: reset full-speed USB device number 5 using ehci-pci
May 25 12:09:36 linux-jn76 kernel: usb 2-1.3: Failed to suspend device, error -32
May 25 12:09:36 linux-jn76 obexd[2100]: disconnected: Transport got disconnected
May 25 12:09:36 linux-jn76 kernel: usb 2-1.3: USB disconnect, device number 5
May 25 12:09:36 linux-jn76 kded5[1833]: bluedevil: Removed Obex session is not ours "/org/bluez/obex/server/session3"
May 25 12:09:36 linux-jn76 dbus-daemon[1119]: [system] Rejected send message, 0 matched rules; type="method_return", sender=":1.22" (uid=0 pid=1764 comm="/us>
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Unable to get io data for Headset Voice gateway: getpeername: Transport endpoint is not connected (107)
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Unable to get io data for Phone Book Access: getpeername: Transport endpoint is not connected (107)
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Endpoint unregistered: sender=:1.22 path=/MediaEndpoint/A2DPSink/sbc
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Endpoint unregistered: sender=:1.22 path=/MediaEndpoint/A2DPSource/sbc
May 25 12:09:36 linux-jn76 systemd[1]: Starting Load/Save RF Kill Switch Status...
May 25 12:09:36 linux-jn76 systemd[1755]: Stopped target Bluetooth.
May 25 12:09:36 linux-jn76 systemd[1]: Stopped target Bluetooth.
May 25 12:09:36 linux-jn76 systemd[1]: Started Load/Save RF Kill Switch Status.
May 25 12:09:36 linux-jn76 kernel: usb 2-1.3: new full-speed USB device number 6 using ehci-pci
May 25 12:09:36 linux-jn76 kernel: usb 2-1.3: New USB device found, idVendor=8087, idProduct=07dc, bcdDevice= 0.01
May 25 12:09:36 linux-jn76 kernel: usb 2-1.3: New USB device strings: Mfr=0, Product=0, SerialNumber=0
May 25 12:09:36 linux-jn76 kernel: Bluetooth: hci0: read Intel version: 3707100180012d0d2a
May 25 12:09:36 linux-jn76 kernel: Bluetooth: hci0: Intel device is already patched. patch num: 2a
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Endpoint registered: sender=:1.22 path=/MediaEndpoint/A2DPSink/sbc
May 25 12:09:36 linux-jn76 bluetoothd[1439]: Endpoint registered: sender=:1.22 path=/MediaEndpoint/A2DPSource/sbc
May 25 12:09:37 linux-jn76 systemd[1755]: Reached target Bluetooth.
May 25 12:09:37 linux-jn76 systemd[1]: Reached target Bluetooth.
May 25 12:09:42 linux-jn76 systemd[1]: systemd-rfkill.service: Succeeded.
May 25 12:09:53 linux-jn76 kernel: usb 1-1.2: new full-speed USB device number 6 using ehci-pci
May 25 12:09:53 linux-jn76 kernel: usb 1-1.2: New USB device found, idVendor=046d, idProduct=c52f, bcdDevice=22.01
May 25 12:09:53 linux-jn76 kernel: usb 1-1.2: New USB device strings: Mfr=1, Product=2, SerialNumber=0
May 25 12:09:53 linux-jn76 kernel: usb 1-1.2: Product: USB Receiver
May 25 12:09:53 linux-jn76 kernel: usb 1-1.2: Manufacturer: Logitech
May 25 12:09:53 linux-jn76 kernel: logitech-djreceiver 0003:046D:C52F.0007: hidraw0: USB HID v1.11 Mouse [Logitech USB Receiver] on usb-0000:00:1a.0-1.2/inpu>
May 25 12:09:53 linux-jn76 kernel: logitech-djreceiver 0003:046D:C52F.0008: hiddev96,hidraw1: USB HID v1.11 Device [Logitech USB Receiver] on usb-0000:00:1a.>
May 25 12:09:53 linux-jn76 kernel: logitech-djreceiver 0003:046D:C52F.0008: device of type eQUAD step 4 DJ (0x04) connected on slot 1
May 25 12:09:53 linux-jn76 kernel: input: Logitech M187 as /devices/pci0000:00/0000:00:1a.0/usb1/1-1/1-1.2/1-1.2:1.1/0003:046D:C52F.0008/0003:046D:4019.0009/>
May 25 12:09:53 linux-jn76 kernel: logitech-hidpp-device 0003:046D:4019.0009: input,hidraw3: USB HID v1.11 Mouse [Logitech M187] on usb-0000:00:1a.0-1.2/inpu>
May 25 12:09:53 linux-jn76 mtp-probe[7435]: checking bus 1, device 6: "/sys/devices/pci0000:00/0000:00:1a.0/usb1/1-1/1-1.2"
May 25 12:09:53 linux-jn76 mtp-probe[7435]: bus: 1, device: 6 was not an MTP device
May 25 12:09:53 linux-jn76 mtp-probe[7462]: checking bus 1, device 6: "/sys/devices/pci0000:00/0000:00:1a.0/usb1/1-1/1-1.2"
May 25 12:09:53 linux-jn76 mtp-probe[7462]: bus: 1, device: 6 was not an MTP device
May 25 12:09:53 linux-jn76 upowerd[1986]: failed to coldplug unifying device: Unable to read response from device: Resource temporarily unavailable
May 25 12:09:54 linux-jn76 systemd-logind[1161]: Watching system buttons on /dev/input/event17 (Logitech M187)
May 25 12:09:54 linux-jn76 kcminit[7470]: Initializing  "kcm_mouse" :  "kcminit_mouse"
May 25 12:09:54 linux-jn76 kwin_x11[1876]: qt.qpa.xcb: QXcbConnection: XCB error: 3 (BadWindow), sequence: 61320, resource id: 132120581, major code: 18 (Cha>
May 25 12:09:58 linux-jn76 bluetoothd[1439]: a2dp-sink profile connect failed for 74:5C:4B:30:12:01: Device or resource busy
May 25 12:09:58 linux-jn76 obexd[2100]: CONNECT(0x0), <unknown>(0xff)
May 25 12:09:58 linux-jn76 obexd[2100]: CONNECT(0x0), <unknown>(0x0)
May 25 12:09:58 linux-jn76 obexd[2100]: SETPATH(0x5), <unknown>(0xff)
May 25 12:09:58 linux-jn76 obexd[2100]: stat(/root/phonebook/): No such file or directory (2)
May 25 12:09:58 linux-jn76 obexd[2100]: SETPATH(0x5), Not Found(0x44)