Have you taken a careful look at the two color-coded charts from the Nature paper? Now what?
I don’t know. I think this paragraph from the paper, Uncovering the sources of DNA found on the Turin Shroud helps somewhat.
DNA extracted from dust particles that were vacuumed from the Turin Shroud shows sequence profiles that identify numerous plant species and correspond to several distinct human mtDNA haplogroups. These results not only confirm that plant fibers and pollen grains are present on TS, as previously reported by optical microscopy, but also reveal that multiple human individuals touched or otherwise left traces of their DNA on the relic linen. The detection of such a variety of DNA sources is extremely valuable in assessing whether there are possible parallelisms between the areas of origin and distribution of identified land plant species and human mtDNA haplogroups and the temporal and spatial paths associated with the two alternative scenarios that have been proposed to explain the TS origin.
Is there more that we can know or assume from this data?
Click on each of these charts for bigger, easier to read versions.