Document Discrepancy Advice

(SF) GGF > GF > M > Me

Wondering if I could get some feedback from all you pros.

GF: Guilio on Birth Certificate. Marriage, my mother’s BC and death certificate list his name as Julius, Julis, Julius J. All dates of birth and parental names are the same.

Would an affidavit/OATS suffice? Or would anyone suggest officially amending all vital documents (ughhh).

Thanks in advance!