I've seen some pretty nice looking wood stocks that I wouldn't even consider taking it outdoors due to the fact it's so nice looking. However, wood stocks are more of just a cosmetic thing rather than a durable thing like synthetic stocks give you. So in the long run, synthetics are the way to go if you want durability.
Ive buildem both ways. I have a client who wanted an M1 Garand that was light. Its 8 pounds and stings when you fire it.
He also wanted his bolt gun to take the nastest rounds he could make. It has a liminate two wood target stock, and varmant stock, It also wieghs 8lbs.
Its shoots like butter, with round that would blow up the M1.