You will need to check it out for yourself. Some feel better with it, others have problems and feel irritable.
Yes, it's good to continue. Even if you lie there with closed eyes, your deranged melatonin cycles (typical for CFS) will start normalizing, and you will still get most of the benefits of sleep even if you don't fall asleep yet. The liver will be grateful to you as well, as this is its most important time. As your adrenals recover from the exhaustion caused by staying up long hours at night, the hormonal cycles will return to normal and harmonize with the circadian rhythms.
Eating the main meal at midday and a light meal early evening 6-7pm will help also.