By my calculation, "The Captain" is just under 5 tons per square meter. Contrast that to the neopanamax, almost 6.5 tons per square meter (some uncertainty here -- I'm going by DWT which apparently doesn't contain the ship itself). So yeah, it's certainly heavier, but the areal density isn't an order of magnitude greater.
https://en.wikipedia.org/wiki/List_of_largest_machines
The ships look like they're over an order of magnitude heavier than anything on land.