Check again; that's exactly what it proposes to do.
It might depend on the sample keywords you checked, but I just checked a phrase that's of interest to my client, and there were some phrases shown that were not just advice (that was lower down the page), the statement was that the ad may be shown automatically on those searches.
A couple of them were acceptable synonyms, but of *extreme* interest was the fact that one of those alternative phrases was the name of a major competitor. So if someone searched for "competitor's store name", my client's ad for "product title" would be shown unless I block the competitor's name! I haven't talked this over with my client yet, but if I were the competitor I'd be outraged at Google.