Based on my personal experience wood has advantages over man made products in bows with deep cores. Longbows can be made from Yew, Osage, Bamboo and many other woods, but you have a better chance of seeing an Ostrich fly, than shooting an all foam longbow.
In my opinion the advantage of foam is limited to lighter weight recurves where wood is not needed, and greater speed can be obtained from foam and carbon. Furthermore, wood should dominate in heavier weight recurves, where woods desirable properties outweigh any undesirable properties and heavier arrows are being used.
Personally, I will be happy to carry a wood core recurve, longbow, or R&D bow anytime, anywhere during my lifetime.