I disagree. I don't think either sex has the advantage at any particular age. Its hard for all of us, none of us know what the other is thinking, etc.
I think the advantage you may be referring to could be that after 30, so many people are married and societally, women are percieved as wanting to get married more than men, so the media assumes women over 30 are freaking out if they are single.
I am single. I am 32. I LOVE it. Wouldn't have it any other way right now! Norush to get married and have kids here. I like that I can grab a suitcase and my passport and take off at a moments notice, etc.
ALSO, I think in general it gets harder for women (men too probably) as we get into our 30's and our sense of self is so defined. In early and mid 20's when you're figuring it all out, I dated all different types and put up with a lot more than I will now. Now I know what I want, and so, put up with a lot less. The field narrows because people are married and we know what we want.
Anyway, those are my thoughts.