It's not built for hiding at all, that's what submarines are for (and that's where our nukes are).
A carrier strike group isn't meant to be stealthy. Quite the opposite. It is the ultimate tool for power projection and making a statement. If it is moving to a new region it will do so with horns blaring.
Obviously troops shouldn't be broadcasting their location regardless, but this particular leak isn't as impactful as the news is making it out to be.
Am I supposed to believe we live in a world where this exists, yet carriers are impossible to find and track on the sea?
Besides, modern fighter jets have radars with 400km detection ranges against fighter sized targets.
A dozen of them or more specialized sensor aircraft could cover entire conflict zones.
It's possible to go to the moon, launch ICBMs, and make fusion bombs. It's news when something possible gets cheap and easy. It's also newsworthy when one of the most powerful and expensive weapon platforms in history doesn't have its infosec buttoned down.