It's not that recurves or flipped tipped bows are less accurate, but rather, the faster the bow shoots, the more "technically precise" your release needs to be.
I teach a LOT of people how to shoot bows, and most of them have never shot a bow before in their life, so I see a lot of sloppy releases. (Thankfully, we're just shooting bullseyes) When the archer has a simple flat bow in their hands, they inevitably have higher scores than when they are shooting a faster shooting, flipped tip bow.
Here's where I think the problem is... Their aim is exactly the same between the two bows, their anchor point is the same, but one thing that new archers consistently do inconsistently is their release.
Maybe someone can describe this better than me, because I'm just going by observation, but if the person's anchor point and aiming method are exactly the same between two bows - one being a simple flat bow, and the other being a flipped tip or recurve bow - the simple flat bow will be MUCH more forgiving of a sloppy release.