This sounds like a known limitation from the DIGITS beta guide (https://support.t-mobile.com/docs/DOC-33751):
Outbound messages are not synced between devices. Like call logs, the messages are sent from the specific device will not appear on other devices. Note: DIGITS that are supported natively on Samsung devices will sync outbound messages.
Hmm, I guess I missed that one. Although texts sent from my phone do seem to get synced to the tablet.
Weird. Hopefully it gets the ability to go both ways.
Thanks for the clarification.
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