You're changing the topic in a subtle but important way.
Your post that led to this was about the "overall success" of a player's career. Now you've modified that to "success in team sports," which isn't quite the same. "Overall" success, to me, would include both team and individual accomplishments. Why else would you say "overall," if you didn't mean to include everything?
While you're on any team, sure, your goal is to try to help that team win a championship, and your own numbers don't matter. If you use the code phrase "success in team sports," then you're pretty much talking about being on a winning team, by definition.
But players can't choose what teams they play for, and most end up playing for several throughout their careers. So how do we assess "overall success"? Through things players can control -- for instance, how well they perform -- or through things they basically can't control -- for example, like which superstar teammates they wind up playing with?
I'm sure almost everyone here plays pickup basketball (or at least used to). Sometimes I'm a "role player" on a good team that runs the table for a couple of hours, my contributions amounting to a few offensive rebounds or decent defensive stands. Other times, my teams don't do as well, but I personally have a better day. Am I more of an "overall success" in the first case? I certainly don't feel that way, but maybe I just don't fit your definition of "team player."
It's worth noting that this conceit about championships is unique to the NBA. No one was saying that Walter Payton or Ray Borque weren't fantastic players before they finally got their titles at the ends of their careers. In fact, the focus was more on the bad luck they've had, playing on a lot of teams that were very good but not quite good enough. Similarly, no one is saying now that Barry Bonds isn't a terrific player (unless of course they are disqualifying him for steroids, but that's a diffrerent issue).
And similarly, no one gets themselves worked up over "role players" who have a few Super Bowl or World Series rings to their credit, through being in the right place at the right time. Every time this topic comes up, I ask whether Yogi Berra should be considered the greatest baseball player of all time. No one ever responds.
The argument that is often advanced for why the NBA should be considered differently, with championships being essential for greatness, is that it allows for more individual dominance than the other major sports. That's true, to some extent, and it's particularly tempting to apply it when talking about superstars from the same era, the most common example being Russell versus Chamberlain.
But a role player? Come on. Even if the NBA does allow stars to dominate more, that argument doesn't apply to the guy who averages only a few shots attempts per game.
The main reason to focus on championships is to allow fans of championship teams to assert their automatic superiority over fans of teams that have not won titles. If you'd be honest with yourself for a moment, you would see that that is exactly your motivation. By aligning yourself with the Lakers, you have earned that right, and clearly the Suns and their fans will never catch up in anyone's lifetime.
It is your perogative to continue lording that over us, and I'm sure you will. You haven't let up in the several years I've been on this board, and I don't expect it to stop. But please don't add insult to injury by insulting our intelligence with ridiculous claims about what a great player Robert Horry is. Anyone not blinded by the glare of "his" past championships can see Horry for what he is -- a good player who performs well under pressure and has had a remarkable knack for getting onto the same squad with the league's best players.