First off, I have no doubt in my mind that the earth is round, but here is where I agree with the flat earthers, They say that they don't dissapear, that it's a matter of perspective. I strongly agree with this, because in my opinion the earth is too large to appear round to such relative short distances. Also, if ships truly vanish in such a short distance, IMO the opposite direction must appear to be on higher ground.
There are 3 ways in which a ship can disappear, one is if it is small ship. In this case it gets far enough away that perspective makes it too small to resolve. But this allows you to bring it back into view with a telescope or a lens. This also has the small features disappear first.
This is not what was being discussed.
The second way you can have in dense fog. This is where the object, while still being resolvable, blurs into the fog, so it just fades out. You can't do anything to bring it back into view except get closer.
This is now what was being discussed.
The third way only works on a round Earth. You have the object move far enough away that it is more distant than the horizon (a phenomenon which does not exist on a flat surface, as the horizon would only ever be the edge of that surface or the vanishing point which is infinitely far away).
In this case the curvature of Earth now gets in the way and the object disappears from the bottom up, with more disappearing the further away the object is.
But if you get higher, the horizon moves further away, allowing you to bring the object back into view.
This is what we are discussing. Perspective has nothing to do with it as you cannot use any lenses or telescopes or the like to bring the object back into view, but moving higher means it can be brought back into view. It disappears while being clearly resolvable.
The Flat Earthers are wrong on this, just like so many points.
It isn't Earth appearing round. It is the curvature of Earth getting in the way. If your eyes where at sea level, as soon as an object moved away from you, Earth would get in the way.
The horizon is a result of this curvature. The distance to the horizon is based upon this curvature.
The horizon isn't a few m away. It is typically several km away.
While the curvature over that distance is quite insignificant in terms of the portion of Earth, it is quite significant relative to the size of you and the boat.