Seems like Square Enix is serious. However, I wouldn't get my hopes up just yet. There's no way of knowing if the Chrono series is even on their radar until they explicitly say so. Personally, I wouldn't think Chrono Trigger needs a remake; likewise, I wouldn't think Chrono Cross deserves a remake (though it probably needs one). These are simply my opinions, however. I still would love to see more revitalization of the series by Square Enix.
Never trust rumors from someone who "knows a guy" in a company. Nearly every single time the rumor is untrue. Again, I would love for such a rumor to be true, but there's currently no basis for it.
Also, and this may just be my interpretation of that annual report, but does this "revitalizing existing IPs" not include new additions to those series, such as sequels?