Historically, CW addressed two issues: Collaborative editing and runaway rep on 'bikeshed' questions. The collaboration idea turned out to be a complete bust.
That leaves bikesheds. Those are questions where everybody has an opinion, and votes arrive that indicate popularity or cleverness rather than any meaningful ranking. The result was a running battle between people trying to get rep and people trying to prevent it by forcing CW. "The CW mafia police," etc.
On Stackoverflow and the other core sites, the management decided, in the end, that it was better to discourage bikeshed questions than to have CW. Questions that call forth multiple answers are OK if the answers have real content. And, for that matter, if the community resists the urge to let them degenerate into stupid popularity and joke contests.
Consider What is the proper way to play A-Flat scales on piano?. Six answers, containing several distinct ideas about how to play this scale. Not CW. No runaway votes. Looks just fine to me the way it is.
So, my point here is not to suggest that we forbid the sort of question with multiple answers. Rather, it's that we permit such questions that are real questions, and not worry about 'CW' for them.