Yes! I'd deary love to spend some time with my great-grandparents! I never met my maternal great grandparents, although I did enjoy a nice, albeit short relationship with my paternal great grandparents...but I was a kid. I wasn't thinking of asking them about some of the family history, I didn't even know it yet.
I suppose if I DID get to talk to my ancient era ancestors I'd be curious as to their lifestyle. Peanut/gluten/shellfish/egg/fill in the blank type allergies? Did they sleep thru the night or were they partially nocturnal? Concepts of religion, family culture and day to day life would be interesting to hear about.
I don't think there is much information to be gleaned from my ancestors regarding me and my immediate family, rather just information that would be interesting from a cultural and historical way that is applicable to humans in general.