Notarizing a will is not the same as witnessing one
These are two separate acts that happen to occur at the same table. Witnessing is what makes the will valid: two competent adults watch the testator sign and then sign themselves. The notary's part comes after, on the self-proving affidavit, where the testator and witnesses swear under oath to what just happened and the notary completes a jurat. Skip the witnesses and you have a notarized document that a probate court may refuse as a will.
Most states offer the self-proving affidavit, but not all, and a handful (including the District of Columbia and Maryland) use a different mechanism, so the notary page in a downloaded form may not fit your state at all. Florida is strict in the other direction: the testator, both witnesses, and the notary must all be together for the affidavit. When a form's execution block does not match your state, the fix is a state-specific form from counsel, not improvising at the appointment.
