I may be too late to this discussion, but I tried this on my new 13th Gen Framework 13 that I just got and it did NOT work for me. I am providing the output in case in helps:
$ fwupdmgr refresh --force
Updating lvfs-testing
Downloading… [ - ]Updating lvfs
Downloading… [***************************************]
Downloading… [***************************************]
Downloading… [***************************************]
Successfully downloaded new metadata: 0 local devices supported
$ fwupdmgr get-devices 1e8c8470-a49c-571a-82fd-19c9fa32b8c3
Laptop (13th Gen Intel Core)
│
├─Fingerprint Sensor:
│ Device ID: 4295296d98b3ba38c72f6baa33d24f03a1d428f6
│ Summary: Match-On-Chip fingerprint sensor
│ Current version: 01000320
│ Vendor: Goodix (USB:0x27C6)
│ Install Duration: 10 seconds
│ GUIDs: 34def4c7-9461-5a32-a945-5dde0ca57d88
│ 1e8c8470-a49c-571a-82fd-19c9fa32b8c3
│ Device Flags: • Updatable
│ • Device can recover flash failures
│ • Signed Payload
$ fwupdmgr update 1e8c8470-a49c-571a-82fd-19c9fa32b8c3
Devices with no available firmware updates:
• Fingerprint Sensor
• System Firmware
• UEFI Device Firmware
• UEFI Device Firmware
• UEFI Device Firmware
• WD BLACK SN770 2TB
No updatable devices
$ lsusb
Bus 004 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub
Bus 003 Device 003: ID 27c6:609c Shenzhen Goodix Technology Co.,Ltd. Goodix USB2.0 MISC
Bus 003 Device 002: ID 32ac:0002 Framework HDMI Expansion Card
Bus 003 Device 004: ID 8087:0032 Intel Corp. AX210 Bluetooth
Bus 003 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 002 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Hope I provided the right output