I don't believe this study compares the viral loads of current vaxx vs. current unvaxxed. Per my reading they are comparing the loads of a group of vaxxed healthcare workers now vs. the loads of healthcare workers from a month period over a year ago when no vaxxs existed. So I'm not sure if the conclusion can be that their loads are higher purely because the vaxx, since they don't mention testing the viral loads of a current unvaxxed sample of these same workers.