I'm not being hyperbolic.
They produce a lot more than just corn. Not only can they be farmed for hundreds of years without break, but they can be harvested 4 to 7 times per year. They are 13 times as productive per unit of area as conventional dry-land farming.
> In Xochimilco, roughly 750 hectares of active chinampas produce around 80 tons of vegetables daily. This translates to a massive, continuous, year-round output of over 38,000 tons per year across the entire area
So that translates to 50.7 metric tons per hectre.
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> the most productive pre-modern agricultural plots which is a great achievement, but there's no need to make things up
Post-industrial agriculture is not actually more productive per area. It's just more productive per input labor.
> Agricultural yields within the most densely populated and productive preindustrial land-use systems compared well with modern yields and were sustained in some regions for centuries to millennia, even though they also tended to require extreme inputs of labor and other socially unsustainable hardships
https://www.pnas.org/doi/10.1073/pnas.1217241110
