Yes, you have those three parallel branches and all three receive the same voltage -- but NOT the line voltage. The connection from the case to the ground (and then to return on the supply) is very low and so nearly all of the current flows through that without developing a significant voltage. You actually have a voltage divider formed by the effective resistance of the wiring from the power supply to the case and the effective resistance of the wiring back to the supply via the ground connection. In theory this could result in a significant fraction of the supply voltage appearing across the load and the person, but in practice the amount of current that would need to flow to make this happen is so large that it blow the fuse or trip the breaker long before this happens -- which underscores why the fuse or breaker MUST be there.Ah ok so it is a short to ground in essence, thanks for clarifying. I think it's the term electrically common that got me in this scenario because the earth path is only electrically common with the ground once the fuse trips and it becomes open circuit? While the current does flow through the earth wire it's not electrically common with the ground-there is voltage..
Can I consider the point where the live touches the casing as a branch point for a simple parallel circuit,I.e. the current has 3 possible paths, through the load, through the casing and then earth wire or through the person. If each is a parallel branch then there has to be the full voltage drop across each branch? But that would mean the person could get a significant shock depending on their resistance?