Detectability of deformation in the optical (TESS; left) and NIR (JWST/NIRSpec-PRISM; right). The horizontal dashed line indicates the simulated value of h_2f =1.565. The red points show the retrieved value of h_2f from phase curves and the 1σ uncertainty while the blue points show the retrieved h_2f from transits. The gray dotted error bars show the 3σ uncertainty of the measurements. A similar plot for HST/WFC3 is shown in Fig. A.2.