Careful. Is Barnes stating that someone from the Bush family pressured him to help Dubya avoid service in Vietnam?
On CBS, he said it was a Bush family friend who asked him. In the lawsuit it looks like he took great pains to say only an explicitly that no Bush family member asked him. I looked into it and that's what I found.
NO, he is not. And therefore it is not perjury. He is saying someone outside of the family asked him to do it.
No perjury here under those conditions. Sorry.