In addition to the Potts and random-cluster models discussed in the context above, similar techniques could be applied to understand the benefits of high-entropy initializations in other high-dimensional spin system models. One such model is the XY model, which describes spins on a lattice with continuous degrees of freedom. By applying the concept of high-entropy initializations, researchers could investigate how the dynamics of the XY model evolve from initial states with high entropy, potentially shedding light on the mixing behavior and convergence properties of the system. Another model where these techniques could be valuable is the Heisenberg model, which extends the Potts model to spins with continuous values and interactions in multiple dimensions. Analyzing the Heisenberg model from high-entropy initializations could provide insights into the dynamics of complex spin systems with continuous symmetries.