Here is a bit of clarification.
V1.0.1
First official release available on st.com and dedicated to STM32WB5xG devices only (1MB flash size)
This version shall not be installed on STM32WB5xE/5xC devices, otherwise device would enter a locked state and no further updates are possible.
V1.0.2
First official release available on st.com and dedicated to STM32WB5xE/5xC devices (512KB and 256KB flash size)
V1.0.2 can be installed on STM32WB5xG devices if they present FUS V0.5.3.
If an STM32WB5xG device has FUS V1.0.1, then there is no need to upgrade to V1.0.2, since it doesn't bring any new feature/change vs. V1.0.1.
In case FUS V1.0.2 installation is started by user on an STM32WB5xG device with FUS V1.0.1, FUS will return FUS_STATE_IMG_NOT_AUTHENTIC error
and discard the upgrade.
So please check the device version you're working with. This mayhelp to undestand the issue.
For the STM32WB55CGU7 version, the bold sentence applies => no need to upgrade from V1.0.1 to V1.0.2.