PDF of filament lengths (top), wall areas (middle) and void volumes (bottom) for Flagship mocks (model m3) without redshift-space distortions for full (𝒟; solid grey lines), and 60% (𝒟_60%; solid coloured lines) sampling, including the FoG effect (${\mathcal{D}}_{\mathrm{noise},60\%}^{\mathrm{w}\mathrm{FoG}}$; dashed coloured lines) and after the compression of FoG (${\mathcal{D}}_{\mathrm{noise},60\%}^{\mathrm{FoG},\mathrm{corr}}$; dotted coloured lines) for the Flagship (model m3) simulation. PDFs obtained using the stellar mass-weighted Delaunay tessellation for the cosmic web reconstruction (left) are compared with the reconstruction without weighting (right). Vertical lines indicate the medians of the distributions. Shaded regions correspond to the standard deviation across five mocks. The FoG mainly impacts the length of filaments which tend to be longer. After the compression of groups, the PDFs are in a good agreement with the reference distribution. Weighting the tessellation helps bringing in better agreement the distributions of the reference catalogue without the FoG effect (𝒟_60%) and after the correction for the FoG effect (${\mathcal{D}}_{\mathrm{noise},60\%}^{\mathrm{FoG},\mathrm{corr}}$). For the PDFs of void volumes obtained for the reconstruction without weighted tessellation, to avoid spurious border effects, only voids with volume larger than the volume corresponding to the mean intergalactic separation are considered.