Your team always tries to find the best possible shot, though the process is more convoluted than you might think -- and there are no guaranteed outcomes.
When the team gets shot opportunities in the first seconds of a possession, how do you know whether they are better or worse than the ones you might get later? You don't. Whether or not those shots are taken depends on some sort of reasonable expectation the GE has about what will happen over the possession.
So there might be cases in which passing on an ok shot will get you a better opportunity later on, and cases in which it will get you an off-balance heave from half-court at the buzzer. This, naturally, depends on tactics, match-ups, and how well your players recognize how good or how bad a shot is (the belief is the last aspect is controlled by experience).
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."