Ha, ha! You're right--the Coats are unrelated to the Old Days in the midwest.
You may remember that through the fifties & sixties (at least) NFL games were pretty much limited to a Game of The Week and (IIRC) whatever the regionally closest team or teams might be. Seems to me that what we usually got was the Bears or Cardinals. But very few people really gave a shit about the NFL back then. MNF and ESPN made it what it is today.
I'm not old enough to remember the Cards at Comiskey Park, so it was Bear games on WISH-TV for us, although I do remember quite a few Cards games on CBS as well when they were in St. Louis - maybe as the doubleheader game. IIRC, WFBM/WRTV carried Bengals games when they started up. I don't remember which AFL team they carried before that, assuming NBC (and ABC before '65) had regional coverage.