I am a fan of distributing the functions provided by the exterior wall across different layers. This promotes durability and makes error analysis and correction easier:
Wind and weather protection
Thermal insulation
Sound insulation
Structural function
A monolithic structure + plaster leads to a separation of weather protection and the rest, all of which are carried out by the masonry. This results in susceptibility to thermal bridges, for example due to improper corner design or mortar filling of gaps, or many slots for plumbing and electrical installations.
A solid brick + ETICS + plaster decouples thermal insulation from sound and structural functions, making planning easier and allowing errors to be detected and corrected.
The main disadvantage here is the low heat storage capacity of the ETICS, which leads to faster algae growth compared to monolithic structures. Heavy insulation materials, such as wood fiber, can provide some relief here in cases of greater required insulation thickness. However, sound insulation is usually better, and slots for plumbing and electrical installations do not affect thermal insulation.
A two-shell structure with core insulation ultimately decouples all functions without the disadvantage of algae growth. However, it has the greatest wall thickness and, in general, the highest cost.
A timber frame construction with plaster carrier board and plaster has other aspects that might be important. An additional vapor-retarding layer is necessary because this is not provided by any masonry; in return, the wall structure is fast and slim. The same applies to algae growth as with ETICS.
A timber frame construction with ventilated facade has no problems with algae growth but is more expensive and thicker.
All structures work, some more easily, some require more attention or tolerate fewer errors, others are thicker or more expensive.