Will openish source really improve security?

I am using the term openish source as a reaction to the fact that the OSI has hijacked the term open source and the natural definition most people likely intuit does not apply. The term I am using is ridiculous. I chose an intentionally ridiculous term to emphasize the silly nature of common arguments for making open source mean something it does not mean to most people. The openish source community claims that the movement towards providing free, source-code available programs will result in more secure software. This claim appears to be based on several fallacies briefly presented: the Microsoft fallacy; the Java fallacy; and the many-eyeballs fallacy.