First, do not sign off on anything that is not true. Second, an annulment based upon "want of understanding" does not require specifics. The basis you need to support with actual evidence is if you allege fraud by one or the other parties. If both of you specifically agree that you had a want of understanding regarding the marriage, the requirements are far less strict. If she has been specific and you do not agree, then do not sign. If she pleads a basic "want of understanding" and you agree, then the Court will likely sign off on the annulment.
The legal reason for the annulment must be true. If you sign a document under oath that is factually incorrect, that is perjury.
The question I have is why annulment? Why not divorce? Is there a religious reason?
The end result is the same--you are both no longer married to each other and you will both be restored to the status of single, unmarried people.
As for future litigation, she would have to combine them with the divorce action, else she would likely lose the right be bring such claims.
I agree with my collegues; and understand, absent actual fraud, Nevada is a no fault state so there is little relevance to the causes of dissolution. But more importantly, you don't want to swear in a document that the allegations are true if they are not. Instead, insist that the incorrect statements are removed first. You should be able to reach agreement without false statements. If not, seek assistance from an attorney.
You should meet with an attorney for a consult at least to discuss and understand what is necessary for an annulment in Nevada. I can certainly understand the desire to have one after only 30 days of marriage, but the ground listed must be true. If the ground is fraud, it must be specific. If it is Want of Understanding, it can be more vague.