We use the latest dataset from the surface detector array of the Pierre Auger Observatory, with events detected up to 31 December 2022 and a total exposure of 135,000 km² sr yr, to search for possible excesses in the flux of the most energetic cosmic rays on an intermediate angular scale (top-hat radius 27°, based on our previous results) from regions along the supergalactic plane. We find no indication for any such excesses other than the previously reported one in the Centaurus region, with a post-trial significance around 3σ, which we find extends down to lower energies than previously studied. In particular, the field of view of our dataset overlaps both regions in the northern celestial hemisphere from which excesses of events have been reported by the Telescope Array. With our integral exposures over these regions comparable to the Telescope Array ones, we find no indication of any flux excesses from there, with event counts in good agreement with the expectations from an isotropic distribution.