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Why get it notarized? Notarizing it only shows that you signed the document and does not authenticate its validity of the document. Notary Publics only make sure the person who is signing the document, is that person... and thats it. Lots of people mistake them for Lawyers or the County Clerk.
I'm a notary, not a lawyer. So take this with a grain of salt because I'm pulling from memory, not statutes.
The notary should be asking you to acknowledge the contents of the document are accurate to the best of your knowledge, or they should be asking you to swear the contents are true prior to them signing and stamping it. If you read what is in the notary block it will say something along the lines of "This person ____ swore to me this day _____ that the contents of this document are true to the best of their knowledge, etc."
The notary public is a publicly held office. You are just not voted in, the government allows your appointment. If something is falsely notarized the notary or the person can be held accountable. Notaries carry insurance to protect themselves against this. Notaries have the same ability to marry and confirm copies and acknowledge and execute documents just like a clerk of the court. Clerk of courts are notaries. My stamp is as good as his. Notaries have rules they follow as to what they can, and can not, sign.
You are correct the notary is NOT a lawyer, and can not give you advice on the document that you are signing. They can ask that you understand it and they can make sure you are in the correct state of mind to execute that document and they can refuse to notarize. They are not just verifying you are the person signing, they are executing a legal document and ensuring that you acknowledge or swear it is true and correct and are in the correct state of mind to do so.
All that being said... If I were the CO I would still be weary of the notary because I am sure it is easy to fake, or you can just pay off a bad notary to stamp whatever you need.