Yes, soft (not rich) Corinthian leather, which was a brilliant marketing name given to a cheap grade of leather from Newark, NJ.
Naturally, we must now watch the 1975 TV commercial that started it all.
The Corinthian Leather jokes began quite soon after the Cordoba went on sale, as we can see in this 1980s Ricardo Montalban interview.
This car, which I photographed a couple of weeks ago in a San Francisco Bay Area self-service wrecking yard is completely used up, and it shows signs of having spent a good decade or two abandoned in a field somewhere. Still, from the purple paint to the once-snazzy "leather" landau roof (note the molded-in stitches) to the "golden" (plastic, in fact) Cordoba medallions on the taillights, door panels, and steering wheel, the Cordoba was the closest thing to the "Super Fly" Cadillac you could buy new from Detroit.
This one has the LA-series 360-cubic-inch V8 engine, which made 155 horsepower. That's 23 fewer horses than the weakest engine you can get in the US-market 2017 Toyota Camry... but try getting a Camry with soft Corinthian Leather!