IPhone 5 carrier name from T-Mobile to Metro PCS?

I have activated an iphone 5 with Metro PCS, I had previously been using an iPhone 4 here as well…
I noticed that when inserting the SIM card, my carrier name would say T-Mobile, but then switch to saying Metro Pcs.
With the iPhone 4 it would always stay as
T-Mobile.
Why does this happen? Does this change anything? Can I make it stay as T-Mobile?

Likely part of the merger and maybe your closest to a tower that was PCS

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