It is a very unrealistic and simple model. The question remains, however, what is meant by the
> quite general conditions [under which] the logic goes through.
This seems pretty contradictory. There is no hint at which of the constraints is edited to fit better to reality.
Some of the papers are linked. These papers, decades old, helpfully even show cases where the result does not hold.
The problem is, the entire right-wing/neoliberal subfields of economics have been utterly refusing to actually compare to reality and make adjustments since Reagan. They just repeat their dogma (like trickle-down economics), and when you point out that it's not working, they claim you're just not doing it hard enough.
The authors themselves had the same reaction.
It's similar to physics: you make small simple models, you investigate what they say, you compare to what you get in reality, and then you make adjustments.
The interesting bit is: what kinds of friction or airpressure or shape do you need to add to your pig to recover what parts of reality?