at a given diameter of a tire, on the same vehicle weight, at correct inflation pressures, you cannot increase contact patch area. You can widen it, or you can lengthen it, but the area will remain the same.
I know... it doesn't make sense to the brain, but the physics don't lie. The contact-patch area of a top-fuel slick never changes throughout the run, and yet I know you've all seen how those tires grow and narrow at high wheel speeds.
The problem is that a wider contact patch promotes handling in cornering situations, whereas a longer contact patch helps with acceleration and braking. A lot more thought goes into selecting tire sizes for performance models than you might think. It's a delicate balance. However, truth be known, the larger the diameter, the lower the rolling resistance.
But Stretch is right... it screws with the ride, and so much more has to go into suspension design to try and correct that. Costs go up as a result--tires and wheels are relatively cheap by comparison. However, rubber is heavy. For being hollow, air-filled treaded bladders, the P255/55R-16 tires I bought for the back of the now-gone Imperial weigh nearly as much as the wheels themselves, and the wheels are 16x9 aluminum 1989 Conquest SHP units (cast aluminum). Forged aluminum is much lighter and stronger, but costs far more to produce so very few automakers use it. Kick the tires of the BMW M3 at which you're looking, and chances are you'll bend the rim.
Stretch is also right about cars being designed by popular vote (and bean counters). Focus groups and enthusiast magazines want this, want that. We had this discussion about engines and transmissions on our ride to Green Bay on Sunday for the Rams/Packers game. You cannot build an exhilirating car by committee, sorry. Perfect case in point: the Pontiac Aztek concept vehicle was pretty damned cool... but look what the committees gave us: one of the most horrifying abortions ever to darken the American freeways. However, the public reaction to the original concept was so strong, Pontiac thought "How could we not build it?!" Customers stayed away in droves. It got so bad, GM upper management forced middle management to drive them, and smile while doing so. How's that focus group working for you now, Pontiac? Never mind... you don't exist anymore.