Although it's widely known that Jerry West was the inspiration for the character silhouette on the NBA logo, and the man who actually designed the logo confirms it himself, the NBA itself has never officially acknowledged that West is the player depicted. The NBA claims that the design was made from a composite of various players, and doesn't depict any one individual. That's why if you read the official Jerry West bio on NBA.com, there's no mention of the logo, even though the NBA devotes a couple-dozen paragraphs to Wests life and his exploits.
Why won't the NBA admit its West? Money. If West could prove that the NBA used his likeness without his permission, he could sue them for millions and millions of dollars. The logo has been around for over 40 years, it appears on every NBA broadcast, on every single piece of licensed gear. Heck, if West just got a penny for every time the logo has been used, he'd be a very rich man.