Cats SHOULD NOT BE FASTED. Period. Hepatic lipidosis is unlikely to set in quickly unless the cat is overweight, but it's still not a good idea. Feed cats twice a day. If a surgical procedure is scheduled, feed before 10 p.m. the night before, don't feed breakfast, and then feed a light meal in the evening.
Dogs are descended from wolves, who hunt in packs, and hence, eat primarily large prey which they kill maybe every 2-3 days if they're lucky (and often less frequently). They gorge when they make a kill, consuming up to 21% of their body weight in one sitting. So dogs can be fed larger, less frequent meals and feeding extra large meals w/ a 24-36 hour fast afterwards is fine and can be beneficial.
Cats, however, are descended from small desert cats who hunt alone and eat small prey. They kill several times a day, so are not set up for gorging and fasting but for smaller, more frequent meals.
Hope that helps!