I think this is pointing to the problem with your definition of 'idempotent'. Idempotency simply means that any number of additional identical requests will have the same effect on the state of the resource, not that they will have no effect. (And by 'have the same effect', we mean 'produce the same state', not 'alter state in the same way' - effects are algebraic projections.)

That's why it's called idempotent - 'doing the same' - rather than impotent.