As for thermal insulators and conductors, they are totally different things from electrical insulators and conductors. They work according to different physical principles. A diamond is a lousy electrical conductor, but there is no better thermal conductor.
but in fact, really, nothing is a total barrier or a total insulaor. hydrogen goes through just about anything we use to contain it, eventually leaking out - just measure outside a hydrogen container or special hydrogen hose. cosmic rays go through anything (I think).