Accepted answer
The part that matters: four weeks is not a magic number, it is approximately five half-lives, which is the interval over which a weekly compound reaches steady state after a dose change. Escalating faster means escalating onto a rising concentration.
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.
Mechanically, holding at a step for longer than four weeks before escalating does appear to reduce cumulative gastrointestinal burden, which is unsurprising given that adverse events cluster in the one to two weeks after each increase. What it does not do is change where you end up, provided you get there.
SURMOUNT-1 used a twenty-week escalation of tirzepatide in 2.5 mg increments to maintenance doses of 5, 10 and 15 mg weekly, and reported a clear dose-response across those maintenance levels — which is the closest thing to evidence that the top of the ladder does more than the middle.
The limitation of all trial-derived dosing reasoning is that trial populations were selected, monitored and supported in ways that do not resemble anyone reading this.
The short version: four-week steps because that is steady state, and the ladder is about the side effects, not the result.