Thrombocytopenia has been a known complication of adenovirus vectors that researchers have worked to overcome in recent decades.
These incidents mirror HITT (women are at higher risk for HITT) and seem to be happening in the timeperiod where IgG titers spike post vaccination.
To me this indicates it's not unlikely something with the adenovirus vectored vaccines (J&J, AZ) is causing this issue. And because this thread seems to have gone to hell, I'll add that I support doing subgroup specific risk calculations and allowing vaccinations to proceed where it makes sense.
https://jvi.asm.org/content/81/9/4866 https://ashpublications.org/blood/article/109/7/2832/125650/... https://pubmed.ncbi.nlm.nih.gov/17148587/