As you can see from the equation in my previous post, downforce squares with speed. So, it becomes an exponential as speed rises. Conversely tyre traction remains relatively constant with speed (actually it reduces slightly on a high downforce car).
So, at around 200km/h (this is an educated guess you must understand) the amount of grip supplied by aero overtakes tyre grip and then becomes a much larger component.
This is a graph I produced some time ago as an analysis for the Formula Student car I am designing at university. This does relate to drag but it holds a very similar comparison with lift. As you can see, at around 5m/s the drag from the projected aero becomes greater than the tyre rolling resistance. This is the same story for traction/grip as at a certain speed aero is a bigger component. At speeds in excess of say 15m/s you can see Aero is considerably larger than RR. This increases with speed.
So, if you increase tyre grip and reduce aero grip this cross-over point is at a higher speed but the ultimate grip is reduced as aero downforce is lower than 2008. So, up until this crossover point, mechanical grip means more than aero - i.e. if the crossover is higher, mechanical grip is more important.