Adam, How does a stiffer sidewall make a wheel spin more easily? Maybe those semi's aren't as good in the cold as the R888's which are known to be fantastic all round tyre, just a little slower on the track when its hot, but they last longer.
If a tyre deforms under pressure it will form a larger flat surface. If the sidewall is too stiff it resists the deformation and you get a small contact patch. Watch a drag-car take off from a side profile and it'll probaly make more sense.
Remember stiff sidewalls are only for cornering grip, it's a negative for acceleration and deceleration. Compromise as everything is in cars. Nothing does everything the best.