It depends on what properties are you looking for. If it is mechanical strength or excellent adhesion or ability to accommodate stresses due to volume changes, an interpenetrating network structure of nanofibers or nanowires are better and if these are chemically linked using functional groups there may not be any difference between tubes or wires or fibers. If these are active and inner surface is also involved they there may be important differences. If these are active materials (for example, ruthenium oxide nanoparticle versus nanotubes and nanowire, tubes are better since inner surfaces are also active for energy storage. Unless specific materials and specific electrolytes are mentioned comparison of morphology with dimensions may not give a proper answer
Nanofibers are able to form a highly porous mesh and their large surface-to-volume ratio improves performance for many applications. Thus, large surface area of the nanofibrous network also enhances ion conductivity, thus polymer batteries comprising nanofiber membranes may improve energy density per weight as compared with conventional polymer batteries.
Recent studies from Exide Batteries in Spain failed to show a significant improvement of battery performance nano-particle enriched lead oxide. There is quite a large amount of research to be accomplished before commercial applications will be a reality. It is a question of whether or not Li-Ion technology advances will make lead-acid batteries obsolete before the graphene neon-particle technology is sorted out.