It helps to be literal here: what the label says and what the trial protocols permitted are different documents, and the difference is instructive: protocols generally allowed a step to be delayed or reversed for intolerance, and a substantial minority of participants used that provision.
Missing a dose by three days on a weekly schedule takes the trough down by less than a factor of 1.35, which is well inside the variation you would see between two on-time weeks. Missing it by five or more days is where the label instructions start to differ between agents, and the reason is how close the next scheduled dose is rather than any mechanistic threshold.
Where the label ladders differ between agents, the differences track the potency ratio and the tolerability profile rather than anything deeper. It is worth reading the ladders side by side once, because the pattern — small starting dose, four-week steps, a defined maintenance range and a defined maximum — is identical in structure across the class.
The pharmacokinetics of the acylated agonists are well described: absorption from the subcutaneous depot is slow and rate-limiting, the elimination half-life is approximately one week, and steady state is reached in four to five weeks. Every dosing question in this section follows from those three facts.
One qualification — this is protocol arithmetic and reported practice, not a recommendation. The compounds in question are not approved for human use when supplied for research.
Read the actual prescribing information for the agent in question. It is short, specific, and more reliable than any summary of it.