I just did some researching and yes, the car could technically do 30-60 in just a tick over a second, as heavily implied in the scan below, but only if it's running on certain tires. However, these were road tires in almost the same fashion as the Dodge Demon's set. That being said, back then it wasn't uncommon for US factories used to offer a set of street or drag radials for muscle cars (and certain sports cars like the Cobra and Daytona and their rivals, the Corvette and Cheetah).
With that being said however, the actual 30-60 isn't 1.1 seconds. Bugatti's Veyron and Chiron can't even do that, let alone the hybrid supercars. Car & Driver knew too, and the wind velocity was reported to be 4 mph, and 4 by 5 go into 20, and half of that is 10, and another half of 10 is 5.
The Cobra can, however, do 40-50 or perhaps even 35-55 in 1.1 seconds. I'll discuss more about this in the comparison between this 427 S/C beast and the F40 Ferrari: