Having watched or listened to just about every Larry Bird game live, I would say, Larry was a "make the right play first" type of guy. If the right play was to pass, then he did that. If it was for him to shoot, he did that.
And, of course, Larry shooting was the right play an awful lot, but so was passing. The only wrong play was Larry not touching the ball at all.
I believe we are saying the same thing, only in a different way. Let me put it like this.
Pass-first mentality: If I have an open shot, I take it. If not, I search for the open man.
Score-first mentality: If I have an open shot, I take it. If not, I may pass the ball. I may as well force my own shot anyway.
Mamba mentality: Pass? Just grab the rebound! It's not that pass-first players pass the ball all the time. It's that they have the tendency to look for the pass instead of primarily looking for their own shot. Like you said, they always look to make the right play.
I'm not just talking about all-time greats. I mean, look at players like Rondo and Rubio. They are passing up open shots all the time. Obviously, it's not that they don't want to score. Everybody wants to score! They just realize that they aren't good enough shooters, hence they would be helping their team more by passing the ball (even if their opponent is daring them to shoot). Imo, this is what makes a truly great player: The ability to play the game as a thinker. The ability to know when's the right time to step up for your team and when's the right time to step aside in favour of your teammates.
(off topic)
Hate to say it, but imo Tatum and Brown aren't playing the game as thinkers. Not yet anyway. Most of the times, they just look for their own shot. But then again, there are very few players who can think the game through at such a young age. Luka is definitely one of them. SGA comes to mind as well. I've written it numerous times. I love that kid's game!