Top two panels: Azimuthal profiles of the dust continuum flux density for the Hot DOGs with the smallest (top, W0116–0505) and largest (bottom, W0831+0140) f_ext, cont. Bottom two panels: Azimuthal profiles of the [C II] flux for the Hot DOGs with the smallest (top, W2246–0526) and largest (bottom, W0831+0140) f_ext, [CII]. The black line is the profile of the observed emission. The dashed line is the profile of the clean PSF. The dotted-dashed line is the scaled PSF that minimizes the scatter of the residuals within B_maj/2 = 1 (see Sect. 3 for details and values in Tables 3 and 4). The dotted line is the profile of the residuals (observed – scaled-PSF). The PSF scaling value, f_ext and the radius used to perform the aperture photometry are noted at the top right of each panel (see dotted circumferences in Fig. 6).