The CFAA doesn't have "intent to commit a felony," it has committed in furtherance of any criminal or tortious act in violation of the Constitution or laws of the United States or of any State, which is much broader. It allows felony penalties without felonious intent.

And as you point out, even that limitation is basically swallowed by the fact that the Wire Fraud statute covers very similar conduct to the CFAA, so they can charge you with computer fraud in furtherance of wire fraud.