  In this note, we discuss a generalization of Schramm's locality conjecture to
the case of random-cluster models. We give some partial (modest) answers, and
present several related open questions. Our main result is to show that the
critical inverse temperature of the Potts model on $\mathbb Z^r\times(\mathbb
Z/2n\mathbb Z)^{d-r}$ (with $r\ge3$) converges to the critical inverse
temperature of the model on $\mathbb Z^d$ as $n$ tends to infinity. Our proof
relies on the infrared bound and, contrary to the corresponding statement for
Bernoulli percolation, does not involve renormalization arguments.
