  In this work, we explore how constraints based on interference effects for
the negative gauge-Higgs coupling scenario are affected by new physics. Models
that achieve this wrong-sign gauge-Higgs coupling inevitably have new charged
Higgs states. These states affect the interpretation of interference effects.
We recast the ATLAS analysis for VBF $Wh$, showing that the previously excluded
negative gauge-Higgs coupling scenario is still experimentally viable for
charged Higgs masses below $370$~GeV. We show that it is possible to weaken
this bound further with mild tuning in the parameter space. We discuss how to
further constrain the wrong-sign gauge-Higgs coupling hypothesis and point out
the potential of VBF $Zh$ to exclude this scenario in a model-independent way.
