Nah, the difference between the coiled pipe in the CFC and a straight pipe is probably barely detectable with lab equipment, if there actually is any difference. Head loss in pipe flow comes from entrance effects (like when the wort flows from the kettle into the pipe), surface roughness, sharp small radius bends (like a 90 degree elbow), and internal restrictions (partially closed valves and things like that).
Head loss is also dependent on flow rate. The lower the flow rate, the less the head loss. So as the flow rate through the CFC drops, there is actually less head loss. In fact below a certain flow rate the factors I mentioned above barely have an effect.
There are a couple of things I would consider. I would try to make sure I get a good drop from the exit of the CFC into the fermenter, even when it's full. That would ensure that there is a good siphon. The other thing I would consider is pressurizing the brew kettle somehow. It wouldn't take much pressure to blow the wort through the CFC. If the kettle was small enough and I had a lid (or an extra lid) laying around, I might try to drill a hole in it and sticking a piece of tubing through the top. Holding the lid down and blowing into the tube would probably be sufficient to blow the rest of the wort out. If you have access to CO2, it would be even easier.
If you have all of the equipment, just test various configurations with water. That way you can make sure everything will work without wasting any precious wort.