If the kind of driving you are engaged in is spirited or racing then unsprung weight such as the tires is important to performance in how the tire grips, rides over bumps, interacts with the suspension and how fast it can accelerate.
If were talking about regular driving then it's not going to matter much.
Suspension also becomes critical in spirited driving as does body roll,alignment, body flex etc., tires are one part of that equation.
What kind of driving are you considering? I just assumed normal cruising stuff with occasional straight line blasts.