If the carrier is aware of the overflight (and I assume the USN isn't run by complete idiots), it can adjust course after the overflight. And at 30 knots, can be 100s of miles away from its initial location when the satellite returns.

Now satellite constellations make it harder, since their numbers limit this strategy. But currently, none of the know systems utilize SAR like the LEO satellites, so they wouldn't function well in bad weather. They'd have to rely on optics which can be severely degraded.