Are Starships Randomly Generated or Standardized?

With the new pathfinder update, ships have been split into four classes: Shuttle, Fighter, Hauler or Explorer.

Do these classes have a standardized set of starships within them or are they randomly generated in each star system? If they are randomized, is the randomization purely cosmetic?

Source: https://www.nomanssky.com/pathfinder-update/

From my experiences, yes, they do have a randomized set of characteristics, based around a central theme.

Hauler
Is generally boxy, and will have a raised cockpit. With some symmetrical wings, or thrusters. I usually find these in Vy'keen systems.

Explorer
Is usually based around a central sphere like cockpit and will have odd looking bits attached and will not be symmetrical. Usually a Korvax ship.

Shuttle
Long and flat, usually with two cylinders on each side. Find these most in Gex systems.

Fighter
Usually a 'pointy' ship, so will be flat, with a pointed cockpit and symmetrical wings.

Exotic
I think these are randomised, as my ship is just a small sphere with two large vertical fins, and is not classed as any of the above.