I really believe the history doesn't matter at all, nor should it. You don't want to play for a team because of what they did 10, 20, 30, 40, etc. years ago. You want to play for a team because of what they are doing right now.
Same reason UCLA doesn't sign the top recruiting class every year, or how Kentucky didn't before Calipari and most likely won't after he leaves (if he ever leaves for the NBA again.)
History is the kind of thing that's cool to appreciate while you're there, but is such a minor selling point. Plus that selling point cuts both ways: do you want to write maybe a chapter, page, or paragraph in a book playing for a team with a rich history, or do you want to be the one to write the entire book for a team with no history yet? Do you want to be the first person people think of when they think of a team or city, or do you want to be one of many and possibly very easily forgotten and/or over looked? While it's cool to be thought of in the same sentence as (but most likely behind) Bird, Russell, and Cousy or West, Wilt, Kareem, and Magic, it's also pretty cool to be thought of as the one and only face of a team and city (like Jordan and LeBron). Think of how great guys like Shaq and Kobe were, but they still might get overlooked when talking about greatest Lakers or Lakers history.
History is something you should be selling to yourself after the fact, looking at the bright side of whatever situation you're in. Wow I get to play for Boston, they have such a rich history, look at all those banners and numbers, that's pretty cool. But if you end up in Orlando or Denver or Toronto, you should be telling yourself: wow I can bring the first championship to the city, really put them on the basketball map, that's pretty cool.