As it is, actual physical blood is used surprisingly little in Ars Magica.
Inherited powers are a thing, but such inheritance tend to skip generations, and in some cases - as with faerie blood - need not even involve a biological relationship.
But even disregarding inheritance of powers, there are many other ways in which blood was important in legends, myths, folklore, and tales.
Contracts signed in blood.
Mixing blood as part of ceremonies.
Drawing of blood triggering magical effects.
Using blood in potions.
Wizards drawing power from blood - their own or others.
And more.
Few of these show up in Ars Magica, and not much. Leaving the field open to any interested author.