One of the problems with relying upon static analysis is that you assume a box. And that all the variables inside the box are the only variables you need to worry about.
That's why you hear folks say things like, "you need to think outside the box."
Another feature of the static box is that it tends to become an echo chamber. You hear the same responses to the same variables over and over again. Of course this leads to both self-reinforcement of certain opinions and another popular antidote for static box echo effects, "if you're digging yourself into a hole, stop digging."
At some point one needs to think outside the box and to stop digging a deeper hole.