"Thin" is relative. It's not as thin as say an Epiphone flame or quilted top, and it's also not as thick as a Gibson LP Standard maple "cap". Yes, the cap is more durable as it can restored. But, when was the last time you needed that done to one of you veneer tops? I haven't even heard any of my friends needing that work done on their veneers or Gibsons.
I also wouldn't call an actual carved cap, ala Gibson, a "veneer". A veneer is a cosmetic application that's put on over the top of a lesser quality wood. On a Gibson the body is mahogany and the cap is carved and bonded to the mahogany, not simply applied as a cosmetic veneer. The Eclipse also have a maple cap, and then that cap has a veneer.
OP, there are also various thickness veneers and ESP, IIRC, uses a thicker veneer than something like an Epiphone. So if it needed repair there is more wood to do so. It's something between a cap and veneer. Maybe we could call it a "carved veneer"? :)