Refine your definition; it relies too heavily on who you do or don’t consider a legitimate “matchmaker.” VERY few bands ever spontaneously came about because four friends wanted to form a band and that was it. Almost always, such bands are torn apart and “original members” are matched up with replacements found through auditions and producers.
The thing about the Monkees is simply they existed as a fictional band first.
The Beatles were the Fab Four; the Monkees were the PREFAB Four!