I have one of the CPAPs on that list. It pulls around 65W (because the humidifier uses heat), which means I'd need a 650Wh battery for a 10 hour flight (yeay, math!). That's A) expensive, B) huge, C) heavy and D) I doubt TSA would allow that through security. Seriously it would be about the size of a car battery. Their limit is 100Wh, but it looks like an airline can give an exception for up to 160Wh, and you can have two spares. That's still only 480Wh. Resmed actually publishes a chart of the power draw for their most popular units.

I don't profess to know which would win out, medical need or TSA rules, but I don't plan to ever try it. I don't sleep on flights anyway. Thinking back, I can't recall ever seeing anyone using a CPAP on a flight....but I have heard plenty of folks who sounded like they sure needed one!