Hacker News has a huge boner for Elon Musk. They forget that others beat Musk and are well known for beating Musk (re: spaceships).
A suborbital manned spacecraft, OTOH, is a spaceship in every sense. (It's neither an orbital spaceship nor, say, an interplanetary spaceship, but it's definitely a spaceship.)
Saying they aren't is like saying a riverboat isn't a boat because it's not ocean-going.
It can touch space, but a ship is not defined by its ability to touch the water.