The underlying point is that 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.
The maintenance question turns on what you are maintaining. If the objective is weight maintenance, the withdrawal-extension data suggests that a fraction of the therapeutic dose retains a substantial fraction of the effect. If the objective is the cardiovascular or renal endpoint, the trials that demonstrated those endpoints used the full dose, and extrapolating downward is not supported by anything.
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.
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.
If you take one thing from this: dose rate drives tolerability, dose level drives exposure, and they are separate levers.