Well, this certainly makes sense. Students follow the lead of the PI or lab supervisor, so if safety is not actively stressed the lab is a less safe place.
Compliance personnel can help, but generally just don’t have the time to spend in each individual lab to create the ‘culture of safety’ that’s needed. The leader has to be the one to set the tone for the activities that go on in their area. And if safety isn’t the first priority, then what is?