  Temporal steering and violation of the Leggett-Garg inequality are two
different ways of probing the violation of macro-realistic assumptions in
quantum mechanics. It is shown here that under unitary evolution and projective
measurements the two types of temporal correlations lead to similar results.
However, their inequivalence may be exhibited if either one of them is relaxed,
i.e., by employing either generalized measurements, or noisy evolution, as we
show here using relevant examples.
