Exactly, the trolly problem describes a murder too. The question it presents “is murder ever justified” and it’s not meant to have a “correct” answer, it’s meant to study how people react to two seemingly equivalent scenarios.
I think Voyager’s “is it ok to push the fat man if his death resurrects two previously dead people and also increases the chances of getting everyone home” twist on the scenario is really interesting and I love that it always without fail gets people debating.