Yeah. Starkville pays Georgia Tech $1 a year. And West Point does the same with Tulane I believe.
Different situations. A college or NFL team doesn't have to worry much about consumer confusion from supporters of some remote High School team. The worst that can happen, typically, is some people may think the trademark owner has given some type of approval or endorsement to the school.
Grambling, Georgia, and Green Bay all have logos on merchandise sold through the same channels of trade. They each have the need to enforce their trademark rights against unlicensed use, without involving the others. And its more complicated, since Green Bay gave both schools permission to use the logos back in the 60s and 70s, when the trademarks were far less valuable.
A concurrent use agreement makes more sense. They draw up lines of demarcation, and then each party is on their own to use and enforce their mark in their realm.