Great question. Knowing what your device is capable of is definitely important.
Since the device will be used on a different network, the only way to know for sure would be to test it on the network or speak with their customer service as I cannot say for sure how a device would work on a non-Verizon network.
It is possible that you may not be able to use T-Mobile specific apps with a non-TMobile device such as their mobile app or Cloud services. The device may also have a harder time connecting to data at its fullest capacity due to differences in the way the phones are programmed.
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