Constraints obtained from the re-analysis of the Planck and AMI observations for the five clusters for which high-quality X-ray observations are available. These re-analyses adopted the GNFW shape parameters which best fit the X-ray data as given in Table 7. Comparison with the corresponding panels in Fig. 5 reveals no obvious improvement in the level of agreement between the Planck and AMI constraints. The X-ray sizes indicated here are also derived from the GNFW fits to the high-quality X-ray data. These are slightly different from the X-ray sizes plotted in Fig. 5, which were taken from the ESZ catalogue.