I guess, the great gift that suffering can bring (if we allow it to) is humility. It chews us up and spits us out and the end product has cracks in the illusory self. We tend to fill those in pretty quickly though.
But certainly I've seen people (and myself) going through very tough times but at the same time so brilliantly free of the usual BS... There can be a depth to suffering, a reflection that is as natural as it is pure.
On the other hand, mostly we tend to get reactive, spouting anger and blame, or seeking vengeance like that big poster that stares at me every day when I leave home (A Law Abiding Citizen).
PS A little Zen note (caveat lector!) in koan or hua-tou training, "suffering" is cultivated in the sense of bringing the practitioner to the edge of despair as one struggles to find the answer to the question that absorbs the questioner completely, but the answer only comes when one lets go clutching at all straws including oneself. It's the brilliant sunshine that comes after every last trick has been exhausted, every subterfuge rejected, every notion demolished, and every bit of hope has died. Nothing left to hold on to. So the house-builder gives up!