Forecast for the constraints on the obliquity distribution provided by a sample of six objects with JWST-quality oblateness constraints (see Section 6.3). The three curves are CDFs for the median obliquity based on six simulated datasets created using Fisher distributions with different θ₅₀ values, and assuming f  =  0.1. One-sigma ranges are shown as shaded regions, and median values are indicated on the horizontal axis. Six precise transit light curves of targets as observationally favorable as TOI-201 b would provide enough information to distinguish between θ₅₀  ≈  0^∘, ≈10^∘ and θ₅₀  ≈  20^∘.