For the 31-yo case, no. Because the report was very weak, biased, and not independent.
For the study you've shared, Yes, genomic integration of a fragmented RNA was done invitro. But from what I understand, it is much less likely to occur in a living human.
Until the 20bp fragment was found in a cancer patient. But anyway, it won´t be the last incidence. Time will tell who is right. Because many cancers did occur after the modRNA-"vaccination".
I agree that time will tell... I support all peer reviewed and independently verified studies. However, there have also been peer-reviewed studies of mRNA vaccines increasing cancer-fighting chances.
https://pdfs.semanticscholar.org/0f22/3dabe67d4249565fcebfe13579558a712822.pdf
Yes, those are specific ones containing e.g. antisense mRNA to cancer-causing factors, but not toxic proteins.