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