The most Catholic non-Hispanic part of the state also clearly sticks out as the most Republican. Sure Texas Germans have always been Republican, but that proves that other factors were at play here, not simply being Catholic (also worth nothing LBJ's home state advantage and being from the region next election clearly trumped JFK's Catholicism in a factor of what was more important for a swing.)
German Texans were not strongly Catholic. Much of the migration to Texas was through colonization, and depending on where the emigrants came from determined whether they were Lutheran or Catholic.
Generally, the "German Counties" to the north of San Antonio tended to be settled by Catholic Germans (and the occasional Catholic Czech/Bohemian) and the "German Counties" along the Coastal Plain between Houston and Corpus Christi tended to be settled by Lutheran Germans. But neither area was monolithically one religion or the other.