I THINK that I succesfully updated my Zooz ZWave 800 dongle to 7.22.1 with Simplicity Studio, but I do not know how to check the firmware version in HA, so as to confirm.
Zwave works, so that is a good sign but I don’t know how to check the version.
Firmware versions of all Z-Wave devices are shown on their Device page.
If you use Z-Wave JS UI the firmware and SDK versions are both shown in the control panel.