Can a defense cross-examination of a prosecution witness who has a history of violent acts and deceit?

The parties cite People v. Ardoin (2011) 196 Cal.App.4th 102, 121-122. In Ardoin, the trial court limited defense cross-examination of a prosecution witness who had engaged in violent acts and deceit. There was already evidence the witness had prior convictions and had other character flaws affecting her credibility. The excluded impeachment evidence added little more to the witness's profile. But the witness's testimony was corroborated on key points by other prosecution witnesses.