No, the difference between a head with close grain and wide grain is the growing conditions of the tree from which the heads were cut. A head with close grain was cut from a slow growth tree that may have grown on a hillside or some area where water/moisture was sparse. A head with wide grain was cut from a faster growing tree that was located in better growing conditions, where water/moisture was more prevalent. There is no difference in the performance or durability of the two heads. The only difference in the heads is cosmetic, where one will show the close grain (growth rings) and the other will have the wider grain.
