I'd like to second rydabent's comment about sand or gravel. IME if the tread is deep enough to deal with sand or gravel in a turn it will be horrible on pavement.

Some semi-slick cyclocross tires do the best job of dealing with this but they do it by putting raised, widely spaced knobs on the sides which makes them squirrelly when there is only clean pavement on the turn.

So you'll have to pick which is the greater concern, clean or dirty corners. Even the tread on a Schwalbe Marathon is going to require slowing down on dirty corners. If you have to make a corner where dirt or gravel is present, slow down and square it off so you ride straight through the mess.