Crossland: the hope ... spider is symetrical. kind of questions the whole torque/ elasticity thing in relation to stresses being transmitted through the hub/ spokes.
Floating rotors, including motorbike rotors and the newer Hope ones are brilliant, but they are an entirely different structural arrangement to the one-piece rotors.
The aluminium centre is well triangulated and, as it's made of alu, can be 3x as thick for the same mass, this hugely reduces the chances of buckling.
Braking loads are taken by the massive steel rivets in shear.
The interface around the rivet on Hope Floaters is angled forward, so that the braking surface leg and rivet are still kept in compression under braking.
The braking surface is completely free to expand without distorting as it heats up, but the braking forces stop any play developing as the rotor warms up.
Crossland: the hope floating rotors have direction on the braking surface
The directional arrows on Hope floating rotors are to make sure the jagged outside edge sweeps across the pad towards the outside. And also that the countersinks for the bolts and hub machined into the thick aluminium spider are positioned correctly, otherwise the rotor will sit 1.5mm outboard.
Few serious motorbike rotors are one-piece, but those I've seen tend to have their tangential legs facing forwards:
Magsy: if you (not the OP) people worry about something like this failing and killing you, you should probably leave the bike at home
I agree, there's a whole lot of other things out there in the world and on our old bikes that's far more likely to kill us, but the OP did ask...
All the best,
Pause, take a breath and ask yourself: "What would Rastamouse