Sears did market Allstate for quite a long time after these tires were built, but not 6.50x16 nylon with a wide white walls. Narrow white walls became popular in the mid 60's and nylon tires did not appear until the early 50's.
This is an article from Time Magazine that was printed in 1961. I was driving nylon tires by then and I would have more faith in a 50 year old nylon tire than a 20 year old steel radial.
http://www.time.com/time/magazine/article/0,9171,894541,00.html