My lights were left on 24/7 by accident at my home tank while I was at UCLA. When I came back, the plants looked sickly. Just like we're not designed to be active forever, I don't think plants are designed to photosynthesize forever.
The plants probably won't react too well to not being rooted, but they'll most likely survive. You can leave the CO2 on 24/7, but maybe shoot for around 15 ppm? I see great plant growth with as low as 20 bubbles per minute in my 10 gallon, and I never have to worry about my fish suffocating.