Can't help but notice that we have 3 options: true, false and error. If we get an error the answer is still going to true or false. It's the very nature of true/false questions.
Not exactly. If an error occurs but the transaction is not rolled back, it can be argued that the inserted row exists in an indeterminate state -- i.e, it exists as a probability waveform which will not collapse into a true/false value until the transaction is finalized either by handling the error and committing, or by rolling back the transaction completely.
Ref. Schroedinger, Cat, et al.