I am the one who must be sorry, krio. The answer I was seeking was very obvious, but since I checked the ATI/CCC in the evening, my tired eyes did not perceive the obvious : the answer was on line 4, whereas I only looked at lines 1 and 2.
Since other ATI-videocard users seem to experience the type of AA problem described in this thread's OP, as I saw on another recent thread, allow me to give the detailed steps to follow :
1. Launch the Catalyst Control Center program (= CCC.exe) ;
2. Go down to "Gaming/3D Application Settings" ;
3. To the right, on line 4, at "Anti-Aliasing Method", click on the "Multisampling" option (in the drop-down menu).
In my case, it was already set at Multisampling : that's why I had experienced no graphical issue whatsoever with my Radeon HD card, when using 8x AA.