Now, make a wish and blow out all the candles. ...

What did you wish for?
I wish that companies would stop requesting that notaries notarize their own signatures.
I hope your wish comes true.
It's a reality. Notaries are often put in a position of having to notarize their own signature. It's against the law. So the notary should not do it.
How do you know when you're asked to notarize your own signature? It's simple. Take a look at this ID Affidavit:

Notice that it states: "he/she was the closing agent for the borrower(s) ...". There is a signature line for the borrower. But the borrower is not taking an oath to anything ("Being duly sworn ..."). This is referring to the person witnessing the signing -- the closing agent. Or in this case, the notary signing agent.
Also, a notary cannot put him or herself under oath.
If the document read: 'I, John E. Borrower, affirm that the above information from the form of identification I provided is true ...', then that would be different. But the borrower is simply writing their signature. They are not acknowledging or swearing to anything. At least, there is no notarial wording to that effect.
Let's take a look at the notary section of this affidavit, just below the borrower's signature:
There is a line for the notary signature, and a place to write in the commission expiration date. The certificate states: "Given under my hand and seal of office." The company wants this signed and sealed.
This is an illegal request, and should not be complied with. You can attach a note stating that you cannot notarize your own signature, and you can cite the notary law that governs this.
(For Colorado notaries, see: CRS 12-55-110.)
If the company comes back to you and says: 'All of the other notaries have been doing this.', that's just another way of saying: 'All of the other notaries have been breaking the law'. But there really shouldn't be an issue.
Good luck.
Leon,
When I run into these forms, which is less and less these days, I take it to another notary, sign it in front of them and have them notarize my signature.
Otherwise, I have several other forms I developed, ran by a local attorney, and he approved them, that I fill out veryfying identification was checked.