Sorry I haven’t gotten around to respond before now.
The first thing I will say is that I believe that the pre-start checklists are controls and not treatment plans. The review is just an improvement to the control.
For me – the safety department needs to own the controls and then coordinate the familiarisation, training and communication of the checklists with the operational managers being responsible for ensuring that the control is implemented each time the equipment is started.
The problem with having operational managers responsible for the development of the pre-checks and owning them is that the same equipment may be in use across the organisation and there may be inconsistencies which could lead to significant issues.
Hope that makes sense.