  The "bootstrap determination" of the geometrical correlation functions in the
two-dimensional Potts model proposed in a paper [arXiv:1607.07224] was later
shown in [arXiv:1809.02191] to be incorrect, the actual spectrum of the model
being considerably more complex than initially conjectured. We provide in this
paper a geometrical interpretation of the four-point functions built in
[arXiv:1607.07224], and explain why the results obtained by these authors,
albeit incorrect, appeared so close to those of their numerical simulations of
the Potts model. Our strategy is based on a cluster expansion of correlation
functions in RSOS minimal models, and a subsequent numerical and algebraic
analysis of the corresponding $s$-channel spectrum, in full analogy with our
early work on the Potts model [arXiv:1809.02191]. Remarkable properties of the
lattice amplitudes are uncovered, which explain in particular the truncation of
the spectrum of [arXiv:1809.02191] to the much simpler one of the RSOS models,
and which will be used in a forthcoming paper to finally determine the
geometric four-point functions of the Potts model itself.
