  We consider local quenches from initial states generated by a single
spin-flip in either the true or the false vacuum state of the confining quantum
Ising spin chain in the ferromagnetic regime. Contrary to global quenches,
where the light-cone behaviour is strongly suppressed, we find a significant
light-cone signal propagating with a nonzero velocity besides the expected
localised oscillating component. Combining an analytic representation of the
initial state with a numerical description of the relevant excitations using
the two-fermion approximation, we can construct the spectrum of post-quench
excitations and their overlaps with the initial state, identifying the
underlying mechanism. For confining quenches built upon the true vacuum, the
propagating signal consists of superpositions of left and right-moving mesons
escaping confinement. In contrast, for anti-confining quenches built upon the
false vacuum it is composed of superpositions of left and right-moving bubbles
which escape Wannier-Stark localisation.
