I've never run out of oil. I've lost about 1/2 a qt between changes, which is 5k miles for me, no matter what the DIC says. I've never had my life get below 50%.
That is what you think.A perusal of the FSM shows an oil level sensor in the 3.6L motor. You'd have to be deaf, dumb, and blind to run out of oil without noticing the lights and messages. If it was leaking it would leave a puddle everywhere you parked. If it burned it, it would be smoking like a mosquito fogger. If the level sensors aren't effective it might be time to drain the oil from a guinea pig, turn the key on, and see what you see.
No smoke and no oil on the back end."Car blows no smoke." Question is: "Have you driven behind your CTS watching for smoke while you are driving your CTS?"