All building materials and designs have their advantages and disadvantages. Also each sneakbox was designed for a different kind of hunting in mind.
Just to use both ends of the spectrum for an example: The Estuary, a 13 ft large beam heavy displacement hull was designed for safety in hunting big water like Cape Cod or places like Great Bay, NJ. Areas where you have to run big water with big tides to get to where you are going. They excel in these situations but if you are hunting protected waters where you might need to drag the boat, etc. they are a bit large and heavy and not necessarily the best design for that application. They do have plenty of room to hunt with a dog.
A 11ft Higbee, light, fiberglass and fast. Built for gunning the ditches and cuts of South Jersey. Certainly seaworthy, but I wouldn't be making a habit of running big water in one. Light weight and easily moved with one person, but limited room for hunting with a dog or lots of decoys.
Those are just two examples of different sneakboxes. Also many of the more custom builders would do whatever you desire in a build. I have friends that have a layer of kevlar laid up in their sneakbox hulls for strength in breaking ice. Another friend had his boat laid up with an extra layer of glass on the bottom for ice as well.
Wood boats are fine if you can store them indoors, glass boats give you the option to store outdoors without as much risk.
The moral of the story is, every design has trade offs.
