That's the whole point of not talking unless a lawyer is present (and you give them a chance to vet your speech). You have very little chance of knowing what is incriminating, and this is by design.

Their job is to put away criminals. In the case where there is not really a crime, their training, which is meant to get confessions from actual criminals, ends up pulling seeming confessions to nonexistent crimes from innocent people. After that happens, you are screwed.