Look at Gino's East and Giordano's. Now look at Imo's and Cecil Whittaker's. Now look at California Pizza Kitchen.
Now, look at a Chicago Italian beef. Look at Pat's, Geno's, or Ray's in Philly. Look at a New Orleans Po' Boy and an East Coast grinder.
You think there's no regional variety within a country? Are you going to tell a Philly guy his cheesesteak isn't authentic because it's different from what you're used to?
Texas, California, Baja California, the Yucatan, central Mexico, southern Mexico, the northern end of the Gulf coast in Mexico, and north central Mexico are all very different places.