Genetics has something to do with my interest in genealogy, but honestly the direct familial connection is what is so interesting to me. Sure, I never met my great-great-great grandfather, and his genes probably have a negligible effect on my life now, but it's fun to think about his connection to me: My dad was really close with his grandfather Henry, who died when my dad was 12. Henry, in turn, had been very close with HIS grandfather, John, who died when Henry was 12. John fought in the Confederate Army for four years, got shot twice and stabbed once, including at Gettysburg.
My thoughts and beliefs have been greatly shaped by my dad, and I'm positive my dad is who is is at least partially because of his relationship with his grandfather. Carry that backward, and I'm only three degrees removed from a soldier in the Civil War -- it's not impossible to think, completely independent of genetic inheritance, that some of my personality quirks or principles worked their way straight to me from someone who was born in the 1840s.