Clouds over tropical oceans are among the most uncertain factors controlling Earth's temperature response to anthropogenic greenhouse gas emissions (Forster et al., 2021). They form along the branches of the Hadley circulation (HC, e.g., Held & Hou, 1980), for instance, in the form of deep convection at the intertropical convergence zone (ITCZ) (Waliser & Gautier, 1993) and shallow convection in the marine boundary layer (MBL) in the Trades (e.g., Stevens, 2007;Vial et al., 2017;Wood, 2012). Tropical clouds have the potential for a strong radiative feedback in a warming climate (Bony & Dufresne, 2005;Zelinka et al., 2016). Yet, their evolution with climate change is uncertain (e.g., Bretherton, 2015), making them a prime focus of current climate change research.Model intercomparison projects of global climate models (GCMs) such as the fifth or sixth phase of the Coupled Model Intercomparison Project (CMIP5, CMIP6, Eyring et al., 2016;Taylor et al., 2012) allow for an assessment of the magnitude and inter-model variability of cloud changes in a large ensemble of state-of-the-art GCMs. With respect to tropical deep convection at the ITCZ, many GCMs project that the upper part of the clouds (i.e., the anvils) will rise in a warming atmosphere and remain at approximately the same temperature, according to the fixed anvil temperature (FAT) hypothesis (Hartmann & Larson, 2002). As the anvils rise, they find themselves in