How did John Quincy Adams creat misnomer around the Era of Good Feelings?

John Quincy Adams did create misnomer around the Era of Good Feelings since the entire period cannot be considered an era of "good feeling".

Explanation:

The term "good feelings" refers to the general mood of the country immediately after the War of 1812 (1812–1815), which was nationalistic, harmonious, and prosperous. Historians' use of the term for American history between 1815 and 1825 is, however, somewhat misleading, because the entire period cannot be considered an era of "good feeling."

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monarchy doesn’t have to have the hereditary element. there have been elective monarchies in the past where you choose your king-for-life and when he dies elect someone else for the job.