Higher K carbon fiber (e.g., 12K, 18K) is generally stiffer, more durable, and less flexible than lower K carbon (3K).
While higher K counts mean more, thinner filaments per bundle, providing a harder feel for power and control, the ultimate stiffness of a product is also heavily determined by the resin, layup, and core material.
3K Carbon: Flexible, lighter, often provides a softer, more comfortable feel with more "bounce" or "ball exit".
12K - 24K Carbon: Stiffer, stronger, and more brittle, resulting in a harder, more direct, and more powerful performance.
Exceptions: Some manufacturers suggest that the density of the weave in 3K can make it feel stiffer in certain applications (like in some paddle rackets), but in general industrial terms, more fibers (higher K) lead to a higher modulus of elasticity.
You are right... But you are also wrong.
A higher K count doesnt mean thinner filaments per bundle, its mean that there are more per bundle. Those bundles get woven, and so a higher K count (wider bundle) results in a wider weave.
That means that a lower K count results in a tighter and finer weave. And that weave toghether with the raw material of carbon fibers used (ie T300, T700, or even T1000 etc) plays a huge role in how stiff, rigid (opposite of flexible) the end surface or part will be.
It is true however that the fibers itself are more rigid than the resin in wich the carbon fiber end product is made, wich hold the fibers and weave in place like glue. BUT, a higher tight weave (less K count) usually uses LESS matrix material (resin) then a higher K count weave. The weave pattern itself is tighter with fewer fiber filaments (K count) so there is LESS space for matrix material (resin). I say usually because this is depended on manufacturing process but generally true. This divtates the FVF (fibre volume fraction).
So yes, the fibers itself are stiffer, but because we use a less tight weave and more resin, the end product is less stiff with more fiber count. (For most padel manufacturing)
What people tend to forget is that K count itself isnt really that important to the stiffness but rather the orientation, FVF, fiber type of raw material, weave etc are more important for the stiffness for the end product.
Ive literally linked to a padel manufacturers site explaining that it is stiffer