I have had both, all wood handles. The mesh net is light, easy to pack as the mesh is not ridged, however once the mesh is wet it will not dry ( unless you don't catch fish) and if visited lots might start to smell like fish requiring a soapy bath. Barbless or not flies would always find a way to get caught and tangled in the mesh after a release.
The rubber net will not smell like fish or stay wet after landing a fish, flies are easy to pick out of the rubber however the rubber mesh ( if heavy) will not pack as nicely as a mesh counterpart and has added weight that could bother your neck/ shoulders if on a quick release.
All in, I would fish a rubber net for both wade and boat fishing. Benefits out weigh the cons.
Good luck on the purchase!!