The site uses the word "may", not "will". I doubt that the omission of the dealer's information from the back of the form will help you, given that you know who the dealer is and where they're located. Also, the site indicates that the remedy would be rescission, which doesn't necessarily help you as that means you're each supposed to be restored to your original condition - and returning a broken car doesn't do that.

The law firm behind that site claims to specialize in these issues, and says "If your used car turns out to be a “lemon”, the odds are that Ohio has a law that can protect and help you. To find out more, contact us.", so I suggest trying that on Monday.