Since the bug is apparently in FullMAC devices, it would be a firmware fix in most cases (unless someone is running a FullMAC device as SoftMAC for whatever reason).
Also, the boundaries between firmware, hardware and (driver) software are pretty murky as far as Wi-Fi drivers are concerned: I remember reading that many FullMAC devices contain their own firmware in a ROM and have some room in on-chip RAM for patches (but not an entirely new firmware image!). These patches can be uploaded at device initialisation time and are contained in the device driver.
This is similar conceptually to microcode, both in that such updates are not persistent (i.e. have to be applied again after every boot) and optional (compared to a mandatory firmware blob upload, you won't notice if your driver is outdated or simply not installing updates for a known vulnerability).