"There is no compensation scheme here"
medium likelihoodThe carrier says the country has no passenger-rights regime, or that its conditions of carriage are the only thing that applies.
What answers it
That is not right: Ley 27261 (Ley de Aeronáutica Civil del Perú) and Ley 29571 (Código de Protección y Defensa del Consumidor) govern this. Ask the carrier to state, in writing, which provision it says applies to your flight and what it provides. A carrier that will not answer that question in writing is one you take to the regulator.
Ley 27261 (Ley de Aeronáutica Civil del Perú)