...The hazel twig.
This has been cut from a living thing. Therefore it is dead. Any sensory structures it might have are now also dead. However, plants are known to be resilient, so lets say we have a freshly cut bit of hazel in which the tissues are arguably still alive. Ok. Now, most of a bit of wood like this is made of lignified cells (wood, to a layman). Lignified cells are dead, even in a living plant. The living cells are in a layer just beneath the bark, but in a branch or trunk these cells are concerned almost exclusively with the transport of fluids within the plant. They are not equipped for detecting anything external to the plant. Granted, there are pores, but these are for transpiration (regulating the rate of water loss, and some limited gas exchange) and have no sensory capacity. Finally, the living cells are, except for the pores, covered with a layer of bark, which is made of dead cells. There is no way that the hazel twig, even if nominally alive, can detect water. Finally, just like the metal, it isn't capable of sudden and spontaneous movement either...