  We present a generalization of the curative initial data construction derived
for equal-mass compact binaries in Helfer {\it et al} (2019 Phys. Rev. D 99
044046; 2022 Class. Quantum Grav. 39 074001) to arbitrary mass ratios. We
demonstrate how these improved initial data avoid substantial spurious
artifacts in the collision dynamics of unequal-mass boson-star binaries in the
same way as has previously been achieved with the simpler method restricted to
the equal-mass case. We employ the improved initial data to explore in detail
the impact of phase offsets in the coalescence of equal- and unequal-mass boson
star binaries.
