He's at least partly right. Most studies in this area are directly or indirectly sponsored by the church. This doesn't make the sympto-thermal method a religious thing and the studies are still scientific, but the church was one of the few who gave financial aid.
Thing is, the method can be done on a piece of paper. So far, not many people had commercial interest in further research. The few who had, used their finances to build birth-control monitors (a piece of hardware) and tied their studies to their specific products.
So, yeah, the church definitely put money in it whereas not many corporations or investors did.