When you use the System Preparation tool (Sysprep), any custom connectoid name that you created on the master image is reset to their default value when the image is applied to the target computer.

This is a 'feature' of the network installation portion of the mini-setup wizard.

To workaround this issue, use the Netsh.exe tool in a script which is invoked by the GuiRunOnce section of the Sysprep answer file.

Example:

netsh.exe interface set interface name = "Local Area Connection" newname = "JSIINC Local Network"