I cannot stress this enough: Learn your family's medical history and write it down in a note on your phone. You'll be asked for this info 10,000 times before every single appointment. But, more importantly, your family history can be a signal to you and your docs whether are "higher-risk" for certain conditions.
Doctors I've seen don't really care about anything beyond parents and siblings for family history. They wouldn't bother with grandparents' siblings, as referred to by OP.
Has this changed recently, or is it different for some conditions?