Depends. It is true that graphene is known to show very high carrier mobilities and and conductivity etc, but this is only on very small samples where there are very few (if any at all) grain boundaries. Compared to CVD grown graphene over several 10s of microns (at least), graphite would be better.
In single wall there will be no electron scattering as compared to graphite which is multilateral where electron mobility has been impeded.So that conductivity would become lower.
Graphene is highly sensitive to the environment. There are several that can improve the performance of your device like suspending it or place it on a very flat surface like BN. If you deal with CVD grown graphene, it's favorable to use single grain graphene. Check my paper on graphlocons.
Article Quantum Hall effect in fractal graphene: Growth and properti...
you could increase the graphene conductivity by metal or metal oxide functionality. Recently, we have seen Mn3O4 and Fe3O4 are incorporated with graphene to enhance the electron flux.