A problem with finding a counterexample might be that any widespread desire for something that doesn't exist could make people think it exists, so any possible example seems likely to be disputed. There's a reason people are far more likely to believe in heaven than hell. People believe in what they want to believe in, and that desire isn't proof of anything but a construct in their brain that they think represents something real.
That said, I hope someone comes up with an example, because I've seen this type of rhetoric before (C.S. Lewis had a version of it), and while the logical problems with it are obvious, picking it apart would take a verbose argument that the kinds of people who like these kinds of fortune-cookie apologetics would have no problem tuning out. A quick example would be very convenient.