This is the way many factory wired motor starters work with relationship to the overload relays.
On an ungrounded control circuit this might be OK, but on a control circuit using a grounded conductor I don't like it
There is the potential for a ground fault between the coil(s) and the contact that is used to interrupt them to render the shutoff (or tripped O/L) totally inoperable.
Under normal operation, this ground fault could go undetected indefinitely. The first sign could be that the shutoff doesn't work when called upon to do its (important) job.
This situation could be compounded by multiple starters/relays wired in conjunction with each other...S