I'm not familiar with the SmartReady SDK as it has yet to be released to the Mass Market portfolio supported here on the community (use CSP for support), however, what you are trying to do should not be any different than WICED Smart (BLE) on the 2073XS.
There are essentially 2 places where we store the device name.
The one that you mentioned is used within advertisements.
/*.local_name =*/ "Hello", // [LOCAL_NAME_LEN_MAX];
There is another instance which is stored in the GATT database.
CHARACTERISTIC_UUID16 (0x0015, 0x0016, UUID_CHARACTERISTIC_DEVICE_NAME,
LEGATTDB_CHAR_PROP_READ, LEGATTDB_PERM_READABLE, 16),
To make sure that the name is not cached, you can change the device address in the Platforms\BCM020732TAG_Q32\... btp file
DLConfigBD_ADDRBase = "20732A001133"
Using this technique, the handset OS will see the new device.