Where people say it's 'thicker' carbon fibre, that often isn't entirely true. The honeycomb in the middle of two layers gets thicker, so the total thickness increases, but the actual level of CF will be about the same. The strength and rigidity are a function of this. Thin carbon fibre 2x2 twill sheet - say 3 ply - is actually very, very flexible and can absorb a lot of energy before breaking/cracking/shattering. But once you've got various types of carbon weave in various directions on either side of a paper or aluminium (or Nomex or Kevlar) honeycomb core it gains strength and rigidity at the expense of toughness.
F1 cars still fail their crash tests frequently, so it's clearly not an exact science.
Rear wing endplates on our car are either aluminium skinned with a thin aluminium honeycomb core or carbon skinned with a plywood core. This makes it strong/stiff enough to push on and to deal with the loads on the track, but keeps it far, far lighter than solid aluminium or carbon would be to acheive the same strength.