By ignoring kinematic and compliance (steer & camber), you are not doing car engineering, you are playing in a sandbox with an evaluation process that is too simplified. The question for you would be how will you determine what the K&C parameter values are ? I'd advise you to get some structural analysis going and a measurement system (a machine or a mechanism) to systematically obtain the influence coefficients that modify (attenuate) the tire forces and moments at each axle).
Only then can you run the play for useful tire evaluations. Do you really think/believe that its possible to have all of your tires running up to the peak SA ? Yeah I know some will claim they have been successful with their primitive models, but it was not because of the reasoning they followed. Luck is not a continuous process.
BTW: Correlation between CS and Relaxation is generally not a very good one. Relaxation and rim width is MUCH better. There should be some relaxation measurement attempts in the next round of TTC data. And just how will/would you factor relaxation effects into your tire selection process ?