I have heard the mini taking 5 hours or more on the 5w charger, so I am thinking the mini does draw more if on a 10/12w, maybe not the full 10 or 12 but it definitely does. I will say this, when I did a little test, I put the mini on the 5w for 10 min. It charged 3%, when I put it on the 10w, it charged it 8%. So I honestly think there is something going on here.
@Earendil, I will charge it again with the 10w in a day or so. I understand what you mean. This was the first complete drain and charge for my mini, so it could be even less time on that charger, simply because it was training the new battery.