Hapag-Lloyd says ships continue on, but agent says Suez Canal convoys disrupted by collision with Maersk ships.
In the wake of Friday's fire, the agency will look at how it handles facility disruptions.
Drewry says spot freight rates between Europe and North America helped by high utilization.
ILWU says its members were threatened outside terminals by hostile demonstrators.
Both of the carrier's new drayage sites are located near major railheads.