No updatable firmware on the Akai Timbre Wolf
This device has no updatable firmware — it runs entirely on analog or fixed-function hardware. There is nothing to track for updates here.
You can still add it to your rig to keep an inventory and track its used market price.
No firmware update was ever publicly released for the Timbre Wolf. Akai discussed potential sequencer improvements shortly after launch but abandoned the product line without issuing any update.