  Violation of Leggett-Garg inequalities allows proof of the incompatibility
between quantum mechanics and the combined premises (called macrorealism) of
macroscopic realism (MR) and non-invasive measurability (NIM). Arguments can be
given that the incompatibility arises because MR fails $-$ or else, that NIM
fails. In this paper, we consider a strong failure of macrorealism, involving
superpositions of coherent states, where the NIM premise is replaced by
Bell-locality. We follow recent work and propose validity of a subset of
Einstein-Podolsky-Rosen (EPR) and Leggett-Garg premises, referred to as
\emph{weak macroscopic realism} (wMR). In finding consistency with wMR, we
identify that the Leggett-Garg inequalities are violated because of failure of
both MR and NIM, but also that both are valid in a less restrictive sense. Weak
MR is distinguished from \emph{deterministic macroscopic realism} (dMR) by
recognizing that a measurement involves a reversible unitary interaction that
establishes the measurement setting. Weak MR posits a predetermined value for
the measurement outcome, for the system defined at the time after the
interaction, when the measurement setting is experimentally specified. An
extended definition of wMR considers the element of reality defined by EPR for
a system A, where one can predict with certainty the outcome of a measurement
on A, by measurement on a system B. Weak MR posits that the element of reality
exists once the unitary interaction determining the setting at B has occurred.
We show compatibility of systems violating Leggett-Garg inequalities with wMR,
but point out that dMR is falsifiable. We compare with other MR models, and
give an argument for wMR on the basis that wMR resolves inconsistencies pointed
out by Leggett and Garg between failure of macrorealism and assumptions
intrinsic to quantum measurement theory.
