That is true and you have all that nice fresh neoprene too.So I'm getting the sense that new divers need more weight because even if we're breathing "calmly," we're keeping too much long volume even when we think we've exhaled? Perhaps because we're not quite comfortable yet, and we instintively hold on to some extra air?
Is the trick to good bouyancy not altering your lung volume over much, so that you don't have a huge difference between the inhale and exhale, while still using your oxygen efficiently? (I've done enough intro dives that I can calm myself down and not tear through my tank fast, but when trying bouyancy control in the pool, I still felt a lot of up and down between breaths.)
Deep breathing is the key to it. Some amount of porpoising as your lung volume swings is normal. One trick is to start your inhale just as you are about to sink then begin your exhale just as detect the start of an ascent. After a while timing and swimming technique can negate a lot of the up & down. For now be patient with yourself, relax and enjoy your dives. If you are self aware and dive with a spirit of continuous improvement a lot of this will come to you with frequent diving.
Deep, normal breathing is important to flush carbon dioxide from your body and to overcome the dead volume of your windpipe. If you are getting headaches odds are you are breathing too shallow.
Pete