That's not quite true. There is definitely an effect from the fuel but it is not directly connected to RON. It's possible that high AKI fuels happen to decrease LSPI frequency depending on region and formulation. For what it's worth, Lake Speed Jr. said that premium fuel decreased LSPI occurrence in tests he observed. This first paper linked showed a weak correlation.
https://www.jstor.org/stable/26273031
https://www.sae.org/publications/technical-papers/content/2018-01-1456/
Also check page 41:
https://aaltodoc.aalto.fi/server/api/core/bitstreams/f065d775-1419-4c98-aa52-24d32ef78830/content
And there have been numerous papers and articles since then that don't show a "weak" correlation. I guess I'm not convinced, considering the primary drivers are design, operation and the oil.
But thanks for the links, I have seen them before but forgot. One of the problems comes from the multiple ways in which the apparent octane rating can be achieved, it's not just the branching of the hydrocarbon molecule. It's throwing additional uncontrolled variables into the mix.