The study linked discusses this posibility. They think their data does not support this hypothesis. This is the relevant quote from the discussion section of t

The study linked discusses this posibility. They think their data does not support this hypothesis. This is the relevant quote from the discussion section of the article: “ Perhaps the simplest explanation in the subfossil datasets is a taphonomic artifact, where male bones in sexually dimorphic species such as bison are larger or denser and more likely to be better preserved or identified as likely to contain DNA. If this was the case, male bias might be expected to correlate with factors associated with postmortem DNA preservation, such as sample age, average DNA fragment length, and cytosine deamination rate. Greater bone density might also be expected to inhibit microbial intrusion, and thus increase the proportion of endogenous DNA (host species vs. microbial DNA). However, no such trends were observed here (Table 2), and it is reasonable to conclude that DNA preservation is equal between the sexes.” https://www.pnas.org/doi/10.1073/pnas.1903275116 https://www.pnas.org/doi/10.1073/pnas.1903275116