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How to keep the phone from resetting to Global mode whenever you reboot? It seems like the GSM radios are draining the battery even more than LTE.
Yes, it does. It's a minor inconvenience, but still annoying.

What is global anyways? Somewhat of a Droid noob here.
For some reason sometimes the most minor inconveniences can be the most annoying.
Anyways, that's strange that it is persistent every time you reboot. Have you tried clearing cache or doing a factory restore?