JWST observations of standard candles and sirens are often analyzed with priors on H0 and other cosmological parameters inherited from ΛCDM fits to CMB, BAO, or previous distance-ladder work, so their inferred distances and expansion rates can be biased toward existing results rather than providing fully independent constraints (Riess et al. 2022; Freedman 2024). This circularity makes it difficult for ΛCDM to use JWST data as a clean arbiter of the Hubble tension and dark-energy physics, because any agreement with either the local ladder or Planck-inferred H0 may partly reflect prior assumptions baked into the modeling, not purely the raw JWST observables (Efstathiou 2024; Perivolaropoulos & Skara 2025).