In the election of 1816, Henry Clay liked both Monroe and Crawford, but hoped to see Monroe win. He expected to be his Secretary of State, and was hurt and angered by it being given to John Quincy Adams.
But what if Clay heard a rumor that Monroe's first choice for Secretary of State was Adams. Would Clay then switch sides to Crawford? I can see Crawford (a Georgian) preferring a fellow westerner over the New Englander Adams. How would the Monroe (Crawford?) Doctrine be altered? How would the Adams-Onís Treaty be changed, or not happen?