Let me be more specific about how I am using the term. The skeptic is generally A PRIORI dedicated to the principles of rationalism, and rejects all forms of supernaturalism. I certainly found this to be the case before I was a Christian and subscribed to The Skeptical Inquirer.
I subscribed to SI for several years. There was a tendency to dismiss claims in a formulaic way (in my opinion). I thought it not sufficiently skeptical of skepticism. I think you are mistaken, however, to assume that all skeptics are similar to those who write for Skeptical Inquirer.