Cumulative distributions the difference angles between the regular GMF model in simulations S2-turb and the best-fit reconstructed models using the MCMC likelihood analysis. From top to bottom for the pitch angles, the tilt angles, the inclination angles, and the position angles. The three reconstruction cases corresponds to different models assumed to model the data: case I: n_d ≡ ARM4 and gmf ≡ LSA (both models underlying the data); case II: n_d ≡ ED and gmf ≡ LSA; and case III: n_d ≡ ED and gmf ≡ ASS. From left to right, the columns correspond to A_turb = 0.00, A_turb = 0.30, and A_turb = 0.90. The shaded area corresponds to the 68% CL extracted from the posterior of the probability distribution as sampled from the MCMC analysis.