Authorities have to conduct investigations. Their voters demand that as part of a civilized society those deputized to keep the peace pursue and solve violations to the public order. Since investigators can't consult a magic ball, their investigations will necessarily involve people who are later cleared. One can attempt the ideal, knowing the ideal is not attainable and that reality is messy. It's a balance. It's not perfect. Some innocent people get caught up in the messy parts.
> Some innocent people get caught up in the messy parts.
What's the number of innocents you're willing to sacrifice to get the outcome you desire? Would you be okay if you or your loved ones are caught up in the messy parts?
There's more than one way to do that, some a lot better than the current practice which, as of now, involves shooting suspects in the head.
> Since investigators can't consult a magic ball
That's what the shooting perpetrators claim too - "we weren't sure if this woman was going to try to wipe us all out, we've got no magic ball, thus, head meet bullet seemed like a reasonable thing to do... repeatedly".
> One can attempt the ideal
There's no evidence that anything close to that has been attempted since at least 2001.
> It's a balance.
It's not. Nobody's punished, no consequences for errors, not even a hint of admission - replaced by blame the victim in the worst crimes imaginary - before looking at the evidence and without even consulting a dictionary to see what the words mean.