In what circumstances will a judge be held liable for failing to properly cross-examine a witness on cross-examination?

Whether such an error is harmless in a particular case depends upon a host of factors ... includ[ing] the importance of the witness' testimony in the prosecution's case, whether the testimony was cumulative, the presence or absence of evidence corroborating or contradicting the testimony of the witness on material points, the extent of cross-examination otherwise permitted, and, of course, the overall strength of the prosecution's case.

Delaware v. Van Arsdall, 475 U.S. 673, 684, 106 S.Ct. 1431, 89 L.Ed.2d 674 (1986).