Harry's a big deal in the Potterverse (they call it Potterverse for a reason). He's the boy who slayed Voldemort, and everyone knows his name and his face. And, as a result, his children have some massively big shoes to fill.
Albus, in particular, has a steep road to climb in order to live up to the great Harry Potter. The Cursed Child is a tale of living in the shadow of fame, and learning how to make your own light.
Questions About Respect and Reputation
How would you describe Harry's adult reputation? How do people view him now, compared to when he was a child and teen?
How does Scorpius earn respect in the bizarro timeline where Harry is dead? Will he be able to earn the same level of respect in the "real" timeline?
Does Harry earn his son's respect? Does Albus earn his father's?
Does it affect Harry's reputation when Albus is sorted into Slytherin?
Chew on This
The "Cursed Child" of the title is Albus Potter, who's cursed by his own father's fame.
Albus's pressure to be the next Harry Potter isn't all in his head. Other kids at school taunt him for being put into Slytherin, not being able to fly well, and basically any mistake he makes.