How can I update an iOS device using iTunes on Mac without backing it up?
You can update your device using Mobile Data by creating a WiFi Hotspot, while your data is on and update your device using the WiFi Hotspot.
Try this:
Quit iTunes.
Open a Terminal (Applications > Utilities > Terminal)
Type or copy the following
command:defaults write com.apple.iTunes AutomaticDeviceBackupsDisabled - bool true
Open iTunes.
Connect the iPhone.
Make Sync without backing up.
- https://discussions.apple.com/thread/7640010?answerId=32668610022#32668610022