yes the school may provide different checklists that cover all eventualities and all versions.
Yet even better will be the checklists for all of these things which are provided in the approved manufacturer's flight manual for the aircraft. It is wise to use the checklist
approved for the specific type you are flying.
In your effort yo understand systems, consider each item in the cockpit, and ask yourself, "why was it included in this aircraft?". With the understanding of why it is there, and then how it operates, and what powers it, your knowledge of aircraft systems will grow well.