Are sailfish really native to the Atlantic Ocean?

Yes, it’s saying that sailfish are not a Lessepsian species – that is, a species that got to the Mediterranean from the Red Sea via the Suez Canal – because sailfish were already native to the Atlantic including the Mediterranean. But if you believe the Indo-Pacific fish are a different species from the Atlantic, then it’s a more significant movement of a Red Sea species into the Mediterranean and would be classified as a Lessepsian invasive.