No, they don't. If the first statement is true, the other two don't contradict it.
'All that is said cannot be true' is true. Because 'all that is said cannot be true' isn't true.
If statement 1's condition is true: Cell 3 holds worthless brass, so Cell 2 holds the gold key. If Cell 1 holds the gold key, Cell 3 holds worthless brass (yeah, but it doesn't). If Cell 2 holds worthless brass, Cell 1 holds the gold key (yeah, but it doesn't).
If statement 2's condition is true: Cell 1 holds the gold key, so Cell 3 holds worthless brass. If Cell 3 holds worthless brass (yeah it does), Cell 2 holds the gold key (can't be, since Cell 1 holds the gold key = logical error).
If statement 3's condition is true: Cell 2 holds worthless brass, so Cell 1 holds the gold key. If Cell 1 holds the gold key (yeah, it does), Cell 3 holds worthless brass. If Cell 3 holds worthless brass (yeah it does), Cell 2 holds the gold key (can't be, since Cell 1 holds the gold key = logical error).
Ok let's do it not with condition, but with Cell:
Cell 1 holds gold key=statement 1 untrue.
Cell 2 holds gold key=other statements unaffected
Cell 3 holds the gold key=other statements unaffected.
Hm, yeah, Cell 1 is the correct answer, without 'all that is said cannot be true' being untrue.
What a stupid dumb [censored] puzzle.