You may be having the same difficulty I have, Friarjohn. My stomach (or brain, or something) sometimes has trouble distinguishing between upset and hunger, such that when I eat something that disagrees with me for whatever reason, I feel hungry again shortly afterward. I find that, if a sudden hunger pang strikes, if I can distract myself for a few minutes often it goes away... so maybe it wasn't really hunger, maybe it was just my stomach complaining about something. Since I started paying closer attention to my stomach, I've noticed a distinct difference in "feel" between (say) a post-heavy-carb pang and real hunger. The real thing feels "deeper" somehow. The others feel urgent, but more superficial. It's hard to explain, especially because you can make them both go away (temporarily) by eating, but maybe you'll notice the difference too. If the distraction trick doesn't work, I find a small amount of something satiating often works to quell the fake pangs without eating a whole meal. (I sometimes use a spoonful of peanut butter -- since it has fat, carbs, and protein it is fairly satisfying in this small amount.)
Also, if you're used to eating big meals, you're probably going to feel empty for a while until your stomach adjusts to smaller meals. This is not a SLD thing; for me it applies any time I'm trying to eat less. You could wait it out, but I find that occasional small but calorie-dense snacks (a handful of nuts, an ounce of cheese) help manage it in the short term. You'd phase out the snacks out once your stomach shrinks up a bit and the appetite reduction effect of the SLD kicks in. Until it does, though, you shouldn't necessarily be trying to "force" things by eating fewer calories, IMHO. You'll naturally do that if/when the SLD starts working for you. So eat when you're hungry, and if you want to try to get used to smalller meals, then try a larger number of small meals/snacks instead of a few big meals.