Unfortunately I don't have the mathematical skill to answer these questions! It might be worth looking at the original papers - quite readable, I understand -

Unfortunately I don't have the mathematical skill to answer these questions! It might be worth looking at the original papers - quite readable, I understand - to see how they constructed the proof that their tiles are aperiodic. After all, you cannot just try to construct a large number of tilings and claim aperiodicity. I would imagine (although I could be wrong) that you get an infinite number of copies of each rotation of the tile. My impression would also be that there are only a small finite number of rotations. So it is less about the rotations than the local structure around each tile not repeating, no mater how large a radius you give for your neighbourhood. Like I say, I'm not good enough with this stuff to give a clear explanation here, sadly.