You can and probably should divide your all your movements into different categories. Maybe something like this:
The main focus and the movements you need to or want to be effective at. Squat, bench, deadlift, press, Olympic lifts etc. Geared or not geared. If you need to be effective in deadlifting off the floor RAW with no straps, use exactly that as your main movement for deadlift.
Close variations of the main lifts. Main goal is to attack weak points by strengthening either the weak muscles or training specifically the weak spot of the lift and to just add training volume to very similar movement patterns as the main lifts. For example: Squat > front squat, box squat etc. Deadlift > block pulls, deficit pulls etc. Paused bench press > touch and go bench, long pause bench, close grip bench etc.
Lifting with additional load with bands or chains also fall into this category
Smaller movements with the main purpose of attacking weak points by building muscle. Dumbbell variations, chins, pulldowns, core work etc. go here.
Isolations like biceps, triceps, rear-delts, pecs etc. as and if needed.
Personally I wouldn't recommend weekly cycling of any other than supplemental lifts. Even with those, just do what you like and what allows you to attack the target muscle the best. If you don't feel like doing DB flyes or pushdowns this time, just do cable flyes and rolling dumbbell extensions for example.
If you want to cycle lifts, you should still plan the cycling in a way that allows you to progress in those lifts. There's no point in doing front squats on week one and box squats on week two if your upper back is the weak spot. Just keep the movements intact for at least one entire training block and even after that, only change them if you need to change.