In summary, Leslie is not a fan. He sums up his paper with this:
[S]olutions offered by supporters of geneticist or metabolist scenarios that are dependent on “if pigs could fly” hypothetical chemistry are unlikely to help.The bottom line for any theoretical system involving autocatalytic cycles is that they can't have chemically unrealistic assumptions. The paper also has a good discussion on actual autocatalytic cycles in biology such as the reverse citric acid cycle and the formose reaction.
Overall, an important paper for me to keep in mind.

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