This is not elastic deformation what happens in cold forging.
Sure. Nobody claimed that, ever, but sure.
Just a quick recap:
@Sebastian: "CX-Rays are good, but Lasers are not
stiff enough"
Me: "This doesn't sound right, as both are supposed to have the same stiffness (same material, same cross sectional area ...)."
You: "Yea, well, but also... [bunch of stuff that affects
strength]."
Me: "The hammered section gets STRONGER, not STIFFER."
You: "[Some more stuff that affects STRENGTH]"
If you want to claim that cold working does increase material stiffness, would you mind producing something to support that claim? Like, anything (well, maybe a few steps above a reddit post, you get me). Mein Grundstudium ist wirklich schon extrem lange her und ich mache keinen Hehl daraus, dass ich den Großteil daraus vergessen habe

I'm willing to learn.
No, they don't. Sapim give a tensile strength of 1500N /m2 for the Laser and 1600N / mm2 for the CX-Ray.
Stiffness is not tensile strength. Nor do the both correlate in a simple linear fashion. Again, your claim was about stiffness, not strength.