Cereal rye is used more here where I see more annual ryegrass in Indiana.  Since ryegrass is a turf type grass it is much shorter.

It was taught not to plant corn into a grass so that is the old cereal rye theory.  Some are successfully doing today by managing it a little closer I think.

It is easy for me to drill rye into cornstalks going to beans.  If my beans are off early enough I can plant wheat or many different cover crops but cereal rye is about my only option in late October.

Ed