There really is no one shoe that is suitable for all terrain.
I prefer shoes that are made by people that know shoes. I've had those Dye ATC's back in the day, they were alright, but not great. Shoes that worked best for me on Sup'Air fields were American football type shoes, such as Nike Sharks, or the spiffy looking Adidas I rock now. Those are made by companies that know shoes. Added bonus with the Adidas is that they are water resistant.
Those type of shoes work well in most wooded areas, but keep in mind that when you are playing in an "old forest", chances are that the roots of the trees will break the surface in many paces. Cleats offer no grip when you step on those and they will be very slippery when wet. In those type of woods, you'd be better off with some type of tactical boot. There is a reason the military rocks them after all...