No. Follow the instructions for the text to put on Part III only. The 1040X alone is all that is called for.
Form 1040X is not a cover sheet. As per the instructions, Form 1040X becomes your new tax return.
Your amendment should include not all but only those Forms and Schedules that changed due to your amendment.
An amended return is a complete copy of your tax return with the corrected or amended information (all forms and schedules) plus a form 1040-X that is basically a cover sheet that summarizes the changes. If you don't send in the entire return, the IRS has nothing to validate the summary on the cover sheet.