One of these guys flew into our ship in mid-Pacific. It wandered around the deck in a dazed and confused state for a while (it must have slammed into the superstructure in the dark). But it didn't seem hurt, and it soon accepted food from the sailors (flying fish usually littered the decks every morning).
It seemed to have no fear of humans.

After a few days' free ride, it disappeared one night, no doubt with a full belly.

I understand they spend their entire lives aloft, landing only to breed on remote atolls.

I've never heard that term "mollymawk" before. We would often see them flying around the ship, or dipping into our wake, sometimes exploiting the ground effect just inches above the water surface. They appear to be designed for long distance flight, but they are quite maneuverable, often swooping deep into the troughs between swells, only to pull up abruptly at the crests to take advantage of the air kicked up by the wind as it spilled over the wave. They are graceful creatures.

But we always called them "albatross".