Unsoldering a module would be much simpler, if the connection were designed for rework, and modules would be more commoditized.
A simple example is my washing machine that recently died. A mosfet blew on the motor inverter/controller, and obviously took out some other components too. It's silicone-encased, making it infeasible to diagnose and fix compoonent by component. The entire electronics, including psu, mcu, display, buttons, and motor controller are a single unit, and has to be replaced. Since it's specific to the model, it is rare and expensive, and not economical to replace, so the entire machine is now junk, or at best spare parts.
In my fantasy ideal, the motor controller would be a separate board, and fairly standardized to the motor size/design, just like stepper driver boards. The display/ui would be a separate board, since that is a common point of failure. The psu should certainly be a standard board. And the the main control board running the valves etc would again be it's own board. Interfaces and protocols between boards should be standard or at least documented.
Yes, multiple, simpler mcu's. And slightly more material, etc, as you say, though for a washing machine, the added weight of a few electronics hardly matters. But much less custom design, inventory, much more repairable, reusable, upgradeable, hackable, etc.
The washing-machine of Theseus, as it were.
Another example is a toaster oven that recently broke. One of the elements shorted or burned out, it is one of a handful of standard sizes/resistances etc, rather than some custom proprietary design. Nice and modular, just as I want. BUT, the elements are riveted to the rest of the oven, rather than screwed, making a replacement significantly harder, to the point I haven't yet bothered (eg I don't have a metal drill-bit), and I bought a replacement oven (with screwed elements - the search was not trivial). A saving of a couple of cents (riveting vs screwing) for the manufacturer has actually cost me, and the world, much much more. IMHO the repairability of this stuff should be mandated, or at least documented right on the front alongside the energy-efficiency ratings and purchase price, etc.