  A recent proposed method for $\alpha$-decay energies ($Q_\alpha$) [J.M. Dong,
W. Zuo, and W. Scheid, Phys. Rev. Lett. \textbf{107}, 012501 (2011)] can
reproduce experimental data of superheavy nuclei (SHN) with an $rms$-value of
less than 100 keV. However, a sinusoid-like periodic deviation from
experiments, which limits the accuracy in predictions, is observed when using
different reference nuclei. In this paper, we have further extended this hybrid
method, i.e., to predict $Q_\alpha$ of the as-yet-unobserved SHN with the help
of known nuclei. It is found that the systematic deviation in previous study is
rooted in the nuclear mass model employed. By further analyzing the source of
errors, different nuclear mass models are evaluated based on the same
procedure.
