It's best to use nylon sticks for two reasons:
Mesh is quite abrasive and if you look inside drums after a while, you'll see sawdust if you use wood tips.
Secondly, if the wood splinters or has any jagged bits, it's liable to damage the mesh heads.
Finally, even if you use nylon, it's worth checking the tips from time to time to make sure that there are now burrs or sharp bits on them,