Critical hit bonus is applied on to critical hit chance not damage.
I think you've missed the question as your response makes no sense. He's asking about critical damage not the chance to critical. In relation to damage boosting perks.
Certain perks add to damage, black widow, laser commander, bloodymess or living anatomy. What he want's to know is does that extra damage get added to the bonus critical damage. Example, the AER14 laser rifle deals 36dmg and an additional 36dmg on a critical hit, with laser commando, bloody mess and lord of death it deals 46dmg a shot would it also deal an extra 46dmg on a critical hit or just +36. That I believe is his question. However I don't know the answer to it. I believe so, but that doesn't make taking living anatomy or bloodymess worth it for the extra damage.