PDFs of the mass-to-flux ratio based on the LOS (upper panel) and POS (lower panel) components of the magnetic field for a time of 1.44 × t_ff, when the cloud has evolved to a more realistic configuration. For each case, we adopt the inclination angle that maximizes the respective component (γ = 0° for B_LOS and γ = 90° for B_POS). Black curves correspond to the results from the simulation. Dotted red lines represent PDFs obtained when column densities and magnetic field strengths from different regions of the cloud (and with different beam sizes) are randomly paired. The dashed blue line shows a PDF of mass-to-flux ratios obtained by considering independent uniform random distributions for B_POS and log₁₀N_p. The vertical solid and dash-dotted blue lines indicate the initial and maximum values of the true µ, respectively. At late times, only ∼17% of B_POS estimates fall within the range defined by the true mass-to-flux ratio, while most values suggest a substantially subcritical cloud. The similarity between the B_POS distribution from the simulation and that obtained from random pairings indicates that such measurements do not preserve the underlying correlation between the magnetic field strength and column density.