Specifically, the titration schedule is a tolerability instrument, not an efficacy one. Nothing in the ladder is there to make the compound work better; every step exists to make the gastrointestinal adverse-event curve survivable.
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.
In practice, 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.
Read the actual prescribing information for the agent in question. It is short, specific, and more reliable than any summary of it.