jats:titleAbstract</jats:title>jats:pWe present a generalisation of the curative initial data construction derived for equal-mass compact binaries in Helferjats:italicet al</jats:italic>(2019jats:italicPhys. Rev.</jats:italic>Djats:bold99</jats:bold>044046; 2022jats:italicClass. Quantum Grav.</jats:italic>jats:bold39</jats:bold>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.</jats:p>