  Majorana bound states are expected to appear in one-dimensional
semiconductor-superconductor hybrid systems, provided they are homogenous
enough to host a global topological phase. In order to experimentally
investigate the uniformity of the system, we study the spatial dependence of
the local density of states in multiprobe devices where several local
tunnelling probes are positioned along a gate-defined wire in a two-dimensional
electron gas. Spectroscopy at each probe reveals a hard induced gap, and an
absence of subgap states at zero magnetic field. However, subgap states
emerging at finite magnetic field are not always correlated between different
probes. Moreover, we find that the extracted critical field and effective
$g$-factor of the lowest energy subgap state varies significantly across the
length of the wire. Upon studying several such devices we do however find
examples of striking correlations in the local density of states measured at
different tunnel probes. We discuss possible sources of variations across
devices.
