But it's tempting to assume the information is false, and if you do that, you could be making a big mistake. I assume by "zero weight" you mean you don't assume it's true or false, which is quite distinct.
One way to look at it is that every statement is true, given sufficient context. The question is, how should it be interpreted, and what is it a true statement about? Generally, when a liar says something, it is intended to either make you believe it is true, or make you believe it is false, or confuse you. So there is true information being provided, it's just not the face value of the statement.
http://blog.danieldavies.com/2004/05/d-squared-digest-one-mi...