Well, my startup is a web platform company. As an example, one of our customers was, as you say, getting applications turned around in 6 months start to finish. Within 2 months after buying our product, one person at the company built 3 applications in 2 months by himself. That was a nationwide car insurance company. I'm sure you've seen their commercials on TV.
Another example. A major car company in the u.s. had a legacy system built on an old mainframe. This system managed peer reviews for different manufacturing plants. The customer migrated this entire system in one month -- including going through the learning curve.
Another example, I myself built a system to help a local small business manage their entire business online /and/ expand their business model to include an additional revenue stream. Total time, start to finish, including requirements gathering, design, and construction: 150 hours.
So yes, it does run quite contrary to what most people believe about application development. It's a paradigm shift and it's real.