  We consider the phenomenological implications of charged scalar extensions of
the SM Higgs sector in addition to EFT couplings of this new state to SM
matter. We perform a detailed investigation of modifications of loop-induced
decays of the 125 GeV Higgs boson, which receives corrections from the
propagating charged scalars alongside one-loop EFT operator insertions and
demonstrate that the interplay of $H\to \gamma\gamma$ and $H\to Z\gamma$ decays
can be used to clarify the additional states phenomenology in case a discovery
is made in the future. In parallel, EFT interactions of the charged Higgs can
lead to a decreased sensitivity to the virtual presence of charged Higgs
states, which can significantly weaken the constraints that are naively
expected from the precisely measured $H\to \gamma\gamma$ branching ratio. Again
$H\to Z\gamma$ measurements provide complementary sensitivity that can be
exploited in the future.
