Regarding your NEW QUESTION dude ..
Does a phrase “by itself,” such as an advertising headline, have to be grammatically correct?
the only meaningful answer is: it is incredibly well established, with literally millions of examples, that the headlines on advertising (whether 'billboards', 'magazine ads', etc) are -- observably -- usually (indeed "almost always"), simply sentence fragments rather than entire sentences.
So, your question "have to be" -- as in "SHOULD Saatchi & Saatchi ONLY USE full sentences (indeed, grammatically correct ones) for advert headlines...."
It's kind of a meaningless question. I mean, I'm all for completely banning outdoor advertising, as in Sao Paolo.
Observably it is incredibly common - essentially, "the norm" - that poster headlines are in fact "sentence fragments". Note too they are often very simply "labels".
(For example, the sign on a door "Exit" or "Toilet" is not a sentence - it's a label.)