Sorry Grandmstrbud but your misunderstood or are simply reading between the lines.
All iPhones display LTE when connected to an LTE network.
All iPhones display 3G when connected to a 3G network.
AT&T (and apparently TMO) have requested that Apple setup the iPhone to display 4G when connected to their HSPA+ networks.
Of the 4 major carriers in the US only AT&T and TMO have HSPA+ networks in the US. There is no such thing as HSPA+ (or 4G) on the CDMA carriers. Most carriers do not refer to LTE as a 4G network, even though that is what it truly is.