Hmm... Well, there is something to be said regarding speed. Those Wright contraptions moved awfully fast- a fact that the pilots found out the hard way when they ran into the ground. If some way could be found to make the aeroplanes more reliable- and especially more efficient- then it's possible that their speed would have made them more economical than the derigible, even considering the latter's massive cargo capacity.
Of course, the derigible would have still found a niche in reliable passenger service. Engines of any kind are bloody noisy; I think passengers would have felt much more comfortable to be in an airship, far away from the thrum of the motors pushing the derigible forward. Since they replaced that flammable coating with non-flammable materials like Kevlar, derigibles would have just been far more reliable, and therefore preferred by passengers.
This thread does raise an interesting though regarding the military, though. As you'll recall, there were a few attempts during WWI to use derigibles to drop artillery shells on enemy positions; however, derigibles are simply too large and fragile for use in the military- modified artillery brought them down easily. If aeroplanes could be made more reliable, with the potential for larger payloads, then they may have been small, fast, and strong enough to drop shells on enemy positions without being killed. Further, less vulnerable craft may have been able to carry out reconnaissance further behind enemy lines, and insert troops closer to the front than derigibles. With these abilities, it's possible that Germany may not have been bogged down in France in WWII; the effects of this would be tremendous, as has been discussed elsewhere on these forums.