It's not true. If you are going to read any further be warned that there is chemistry below!
The CYA is DISSOLVED in the water and exists as IONIC species! (Chlorinated isocyanurates, which is what you have when you have both CYA and chlorine in the water, exist as about 10 different ionic species in water.) The ions are going to be equally distributed through the water just as chlorine ions, calcium ions, bicarbonate ions, sodium ions, etc. will be. The definition of a solutions is
a homogeneous mixture composed of two or more substances.
We are not talking about colloids and suspensions here (such as what happens when you overdose on clarifiers or precipitate calcium carbonate and cloud the pool) but solutions where a solute (CYA) is dissolved in a solvent (water). Even if the water was stagnant and there was no circulation the ions would move to a state of maximum randomness (and be equally distributed throughout the solution) as the second law of thermodynamics states.
I do not know where these fallacies have started but they are fairly common and I have heard conflicting ones concerning CYA from pool professionals. I was in one product seminar where the speaker said that CYA was concentrated in the top 3 inches of pool water so by turning off the main drain and only using the skimmers when you drained would remove CYA faster

and I have also heard the opposite.

It just goes to prove that a lot of "pool professionals" and manufacturer's reps do NOT understand basic chemical principals

and possibly have never even had a high school chemistry course!
A bit of common sense and an understanding of chemistry will blow this myth right out the window!