Yes they have three poppers for the rise. I find them a really good fit (though am going to be selling mine because the flap which holds the prefold is giving Leo red marks, but he's got sensitive skin). You can definitely use them as a wrap though because DH just puts them on over any old nappy and says they work fine.
OOh interesting that they work with fitted nappies too....... I was lusting after these the other day but didn't think you could use them except with pre-folds. Are Thirsties the same, can you use them with fitted nappies too? Trying to choose between the two!