I disagree with the idea that pool's seedy side shouldn't be addressed. Literally any time I tell someone who isn't a pool player about my pool hobby I get some or all of:
"Ever have your thumbs broken?"
"Do you hustle people?"
"Ever get into a bar brawl?"
Etc, etc.
Due largely to media/movies, the perception of pool is one of a game surrounded by unsavory characters and unscrupulous activity.
Any redemption to be had by the sport needs to address those concerns head on. Saying "hey, pool has a bad reputation but it's a legitimate and growing game" is the perfect way to start impacting people's preconceptions. Then, references to its seedy reputation can fade away as the focus turns to the elegant game pool is, and the reputable and family-friendly atmosphere of its professional events.
Pool needs to own its reputation and guide the narrative, not try to sweep its history under the rug.