Do innovation methods get in the way of innovation?

I have gone through innovation offsites, workshops, training.  I have made reports on innovation to my bosses.  I have helped clients innovate with different processes - all claiming to be the surefire way to find innovation...Most of these experiences were very valuable, and even exciting, but I sometimes find it disturbing that innovation doesn't always happen when the process says it will.

Sometimes, the insight happens when everyone isn't looking.  Sometimes, the innovation occurs despite the innovation process. There are some discernable frameworks and structures to the process of identifying new approaches then commercializing them, and most well-thought out processes for innovation are helpful...but is there a be all and end all method for innovation?  And can an orderly process for innovation sometimes get in the way? 

Innovation requires almost a kind of subversive thinking - an approach that assumes that the way things are is not the best they could be.  Can someone rebel from orthodoxy and think subversively (innovatively) if they too closely follow a formula?

By trying to capture innovation in a cage, are we taking some of it's power away?

What do you think?  What is your approach to finding a better way to do something?  How do you solve problems?  How do you get your organizations to think innovatively?